143:@0.938423:0.974518:0.967620:0.974518:0.967620:0.956590:0.938423:0.956590:0.000000:0.000000:0.000000
Pensamiento numérico y variacional :@0.603816:0.043660:0.930949:0.043660:0.930949:0.024915:0.603816:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos la equivalencia   = :@0.103210:0.136836:0.310126:0.136836:0.310126:0.120402:0.103210:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.283730:0.136836:0.291203:0.136836:0.291203:0.120430:0.283730:0.120430:0.000000
exp x:@0.310402:0.136836:0.351655:0.136836:0.351655:0.120430:0.310402:0.120430:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.334372:0.140009:0.339609:0.140009:0.339609:0.130428:0.334372:0.130428:0.000000
( ) :@0.339506:0.136836:0.360196:0.136836:0.360196:0.120402:0.339506:0.120402:0.000000:0.000000:0.000000:0.000000
⇔:@0.360472:0.136420:0.379652:0.136420:0.379652:0.119432:0.360472:0.119432:0.000000
   = :@0.379468:0.136836:0.410135:0.136836:0.410135:0.120402:0.379468:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.383757:0.136836:0.391212:0.136836:0.391212:0.120430:0.383757:0.120430:0.000000
log y:@0.410411:0.136836:0.449605:0.136836:0.449605:0.120430:0.410411:0.120430:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.432143:0.140009:0.437541:0.140009:0.437541:0.130444:0.432143:0.130444:0.000000
( ). Una tabla de valores de la función :@0.437438:0.136836:0.710146:0.136836:0.710146:0.120402:0.437438:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.103199:0.153478:0.128148:0.153478:0.128148:0.137072:0.103199:0.137072:0.000000:0.000000:0.000000
2:@0.127916:0.156650:0.133153:0.156650:0.133153:0.147069:0.127916:0.147069:0.000000
 se obtiene con ayuda de la función exponencial :@0.132999:0.153478:0.482600:0.153478:0.482600:0.137044:0.132999:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.482442:0.153478:0.506758:0.153478:0.506758:0.137072:0.482442:0.137072:0.000000:0.000000:0.000000
2:@0.506532:0.156650:0.511769:0.156650:0.511769:0.147069:0.506532:0.147069:0.000000
; su gráfica se muestra en la :@0.511614:0.153478:0.710515:0.153478:0.710515:0.137044:0.511614:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 1.:@0.103212:0.170120:0.162734:0.170120:0.162734:0.153686:0.103212:0.153686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.197483:0.077120:0.197483:0.077120:0.181049:0.073089:0.181049:0.000000
exp:@0.103210:0.197483:0.127563:0.197483:0.127563:0.181077:0.103210:0.181077:0.000000:0.000000:0.000000
2:@0.127511:0.200655:0.132748:0.200655:0.132748:0.191074:0.127511:0.191074:0.000000
(0) = 1, :@0.132701:0.197483:0.186100:0.197483:0.186100:0.181049:0.132701:0.181049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.197483:0.351225:0.197483:0.351225:0.181077:0.329118:0.181077:0.000000:0.000000:0.000000
2:@0.351173:0.200655:0.356410:0.200655:0.356410:0.191074:0.351173:0.191074:0.000000
(1) = 0,:@0.356362:0.197483:0.405804:0.197483:0.405804:0.181049:0.356362:0.181049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.228849:0.077120:0.228849:0.077120:0.212415:0.073089:0.212415:0.000000
exp:@0.103210:0.228849:0.127563:0.228849:0.127563:0.212443:0.103210:0.212443:0.000000:0.000000:0.000000
2:@0.127511:0.232022:0.132748:0.232022:0.132748:0.222441:0.127511:0.222441:0.000000
 :@0.132701:0.228849:0.136732:0.228849:0.136732:0.212415:0.132701:0.212415:0.000000
1:@0.144441:0.222092:0.153424:0.222092:0.153424:0.205658:0.144441:0.205658:0.000000
2:@0.144441:0.238484:0.153424:0.238484:0.153424:0.222050:0.144441:0.222050:0.000000
  = 2   =    2 , :@0.161135:0.228849:0.251441:0.228849:0.251441:0.212415:0.161135:0.212415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.228849:0.351225:0.228849:0.351225:0.212443:0.329118:0.212443:0.000000:0.000000:0.000000
2:@0.351173:0.232022:0.356410:0.232022:0.356410:0.222441:0.351173:0.222441:0.000000
   2  =   ,:@0.356362:0.228849:0.421164:0.228854:0.421164:0.212420:0.356362:0.212415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.402480:0.221379:0.411463:0.221379:0.411463:0.204945:0.402480:0.204945:0.000000
2:@0.402480:0.237771:0.411463:0.237771:0.411463:0.221338:0.402480:0.221338:0.000000
 :@0.073089:0.259785:0.077120:0.259785:0.077120:0.243352:0.073089:0.243352:0.000000
exp:@0.103210:0.259785:0.127563:0.259785:0.127563:0.243379:0.103210:0.243379:0.000000:0.000000:0.000000
2:@0.127511:0.262958:0.132748:0.262958:0.132748:0.253377:0.127511:0.253377:0.000000
(1) = 2  = 2, :@0.132701:0.259785:0.218962:0.259785:0.218962:0.243352:0.132701:0.243352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.178889:0.253721:0.184126:0.253721:0.184126:0.244140:0.178889:0.244140:0.000000
log:@0.329118:0.259785:0.351225:0.259785:0.351225:0.243379:0.329118:0.243379:0.000000:0.000000:0.000000
2:@0.351173:0.262958:0.356410:0.262958:0.356410:0.253377:0.351173:0.253377:0.000000
(2) = 1,:@0.356362:0.259785:0.405804:0.259785:0.405804:0.243352:0.356362:0.243352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.287149:0.077120:0.287149:0.077120:0.270715:0.073089:0.270715:0.000000
exp:@0.103210:0.287149:0.127563:0.287149:0.127563:0.270742:0.103210:0.270742:0.000000:0.000000:0.000000
2:@0.127511:0.290321:0.132747:0.290321:0.132747:0.280740:0.127511:0.280740:0.000000
(2) = 2  = 4, :@0.132701:0.287149:0.218962:0.287149:0.218962:0.270715:0.132701:0.270715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.178889:0.281085:0.184126:0.281085:0.184126:0.271504:0.178889:0.271504:0.000000
log:@0.329118:0.287149:0.351225:0.287149:0.351225:0.270742:0.329118:0.270742:0.000000:0.000000:0.000000
2:@0.351173:0.290321:0.356410:0.290321:0.356410:0.280740:0.351173:0.280740:0.000000
(4) = 2,:@0.356362:0.287149:0.405804:0.287149:0.405804:0.270715:0.356362:0.270715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.319228:0.077120:0.319228:0.077120:0.302794:0.073089:0.302794:0.000000
exp:@0.103210:0.319228:0.127563:0.319228:0.127563:0.302822:0.103210:0.302822:0.000000:0.000000:0.000000
2:@0.127511:0.322401:0.132747:0.322401:0.132747:0.312820:0.127511:0.312820:0.000000
  –       =        , :@0.132701:0.319228:0.227168:0.319228:0.227168:0.302794:0.132701:0.302794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.319228:0.351225:0.319228:0.351225:0.302822:0.329118:0.302822:0.000000:0.000000:0.000000
2:@0.351173:0.322401:0.356410:0.322401:0.356410:0.312820:0.351173:0.312820:0.000000
 :@0.356362:0.319228:0.360393:0.319228:0.360393:0.302794:0.356362:0.302794:0.000000
1:@0.373912:0.311045:0.382895:0.311045:0.382895:0.294611:0.373912:0.294611:0.000000
  2:@0.369881:0.328699:0.386926:0.328699:0.386926:0.312265:0.369881:0.312265:0.000000:0.000000:0.000000
  = –   ,:@0.396035:0.319228:0.455918:0.319233:0.455918:0.302799:0.396035:0.302794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.435394:0.311758:0.444377:0.311758:0.444377:0.295324:0.435394:0.295324:0.000000
2:@0.435394:0.328150:0.444377:0.328150:0.444377:0.311717:0.435394:0.311717:0.000000
 :@0.073089:0.355061:0.077120:0.355061:0.077120:0.338627:0.073089:0.338627:0.000000
exp:@0.103210:0.355061:0.127563:0.355061:0.127563:0.338655:0.103210:0.338655:0.000000:0.000000:0.000000
2:@0.127511:0.358234:0.132747:0.358234:0.132747:0.348652:0.127511:0.348652:0.000000
(–1) =       . :@0.132700:0.355061:0.220208:0.355061:0.220208:0.338627:0.132700:0.338627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.181736:0.346697:0.190718:0.346697:0.190718:0.330264:0.181736:0.330264:0.000000
2:@0.181736:0.363090:0.190718:0.363090:0.190718:0.346656:0.181736:0.346656:0.000000
log:@0.329118:0.355061:0.351225:0.355061:0.351225:0.338655:0.329118:0.338655:0.000000:0.000000:0.000000
2:@0.351173:0.358234:0.356410:0.358234:0.356410:0.348652:0.351173:0.348652:0.000000
  :@0.356362:0.355061:0.364351:0.355061:0.364351:0.338627:0.356362:0.338627:0.000000:0.000000
1:@0.372053:0.348305:0.381036:0.348305:0.381036:0.331871:0.372053:0.331871:0.000000
2:@0.372053:0.364697:0.381036:0.364697:0.381036:0.348263:0.372053:0.348263:0.000000
  = –1.:@0.388745:0.355061:0.432757:0.355061:0.432757:0.338627:0.388745:0.338627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa que para 0 <   < 1, se tiene :@0.103210:0.389571:0.366139:0.389571:0.366139:0.373138:0.103210:0.373138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.263500:0.389571:0.270955:0.389571:0.270955:0.373165:0.263500:0.373165:0.000000
log x:@0.365955:0.389571:0.405457:0.389571:0.405457:0.373165:0.365955:0.373165:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.388009:0.392744:0.393246:0.392744:0.393246:0.383163:0.388009:0.383163:0.000000
( ) < 0, y para   > 1 es :@0.393198:0.389571:0.551445:0.389571:0.551445:0.373138:0.393198:0.373138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.492763:0.389571:0.500218:0.389571:0.500218:0.373165:0.492763:0.373165:0.000000
log x:@0.551316:0.389571:0.590827:0.389571:0.590827:0.373165:0.551316:0.373165:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.573377:0.392744:0.578614:0.392744:0.578614:0.383163:0.573377:0.383163:0.000000
( ) > 0. La función :@0.578568:0.389571:0.710474:0.389571:0.710474:0.373138:0.578568:0.373138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
logarítmica de base 2 es estrictamente creciente::@0.103219:0.406213:0.457150:0.406213:0.457150:0.389779:0.103219:0.389779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.240003:0.433159:0.253127:0.433159:0.253127:0.416171:0.240003:0.416171:0.000000
x x:@0.253035:0.433575:0.280134:0.433577:0.280134:0.417170:0.253035:0.417169:0.000000:0.000000:0.000000
1:@0.260420:0.436749:0.265657:0.436749:0.265657:0.427168:0.260420:0.427168:0.000000
,     ]0, ∞[,   <     :@0.265611:0.433577:0.418687:0.433577:0.418687:0.417143:0.265611:0.417143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.280072:0.436749:0.285309:0.436749:0.285309:0.427168:0.280072:0.427168:0.000000
R:@0.289219:0.433577:0.299122:0.433577:0.299122:0.416907:0.289219:0.416907:0.000000
x:@0.348693:0.433577:0.356148:0.433577:0.356148:0.417170:0.348693:0.417170:0.000000
1:@0.356062:0.436749:0.361299:0.436749:0.361299:0.427168:0.356062:0.427168:0.000000
x:@0.380047:0.433577:0.387502:0.433577:0.387502:0.417170:0.380047:0.417170:0.000000
2:@0.387433:0.436749:0.392670:0.436749:0.392670:0.427168:0.387433:0.427168:0.000000
⇒:@0.396580:0.433160:0.414748:0.433160:0.414748:0.416172:0.396580:0.416172:0.000000
log x:@0.418614:0.433577:0.458100:0.433577:0.458100:0.417170:0.418614:0.417170:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.440652:0.436749:0.445889:0.436749:0.445889:0.427168:0.440652:0.427168:0.000000
( ) < :@0.445841:0.433577:0.486908:0.433577:0.486908:0.417143:0.445841:0.417143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.458029:0.436749:0.463265:0.436749:0.463265:0.427168:0.458029:0.427168:0.000000
log x:@0.486797:0.433577:0.526311:0.433577:0.526311:0.417170:0.486797:0.417170:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.508863:0.436749:0.514100:0.436749:0.514100:0.427168:0.508863:0.427168:0.000000
( ).:@0.514052:0.433577:0.539435:0.433577:0.539435:0.417143:0.514052:0.417143:0.000000:0.000000:0.000000:0.000000
2:@0.526237:0.436749:0.531474:0.436749:0.531474:0.427168:0.526237:0.427168:0.000000
2.  La función :@0.073089:0.485490:0.186525:0.485490:0.186525:0.468821:0.073089:0.468821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.186397:0.485490:0.211081:0.485490:0.211081:0.469084:0.186397:0.469084:0.000000:0.000000:0.000000
   : :@0.211025:0.485490:0.230151:0.485490:0.230151:0.468821:0.211025:0.468821:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.301010:0.491079:0.306644:0.491079:0.306644:0.480771:0.301010:0.480771:0.000000
2:@0.301010:0.500909:0.306644:0.500909:0.306644:0.490601:0.301010:0.490601:0.000000
ℝ:@0.239849:0.479688:0.253139:0.479688:0.253139:0.462034:0.239849:0.462034:0.000000
   :@0.253139:0.479106:0.277602:0.479106:0.277602:0.462672:0.253139:0.462672:0.000000:0.000000:0.000000
:@0.257170:0.478565:0.273571:0.478565:0.273571:0.462769:0.257170:0.462769:0.000000
ℝ:@0.277602:0.479688:0.290892:0.479688:0.290892:0.462034:0.277602:0.462034:0.000000
+:@0.290892:0.471781:0.297288:0.471781:0.297288:0.462200:0.290892:0.462200:0.000000
x:@0.239849:0.494235:0.247304:0.494235:0.247304:0.477829:0.239849:0.477829:0.000000
   :@0.247304:0.494235:0.271767:0.494235:0.271767:0.477801:0.247304:0.477801:0.000000:0.000000:0.000000
:@0.251335:0.493694:0.267736:0.493694:0.267736:0.477898:0.251335:0.477898:0.000000
exp x:@0.271767:0.494235:0.316662:0.494235:0.316662:0.477829:0.271767:0.477829:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ) = :@0.296267:0.494235:0.340574:0.494235:0.340574:0.477801:0.296267:0.477801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.344384:0.485871:0.353367:0.485871:0.353367:0.469437:0.344384:0.469437:0.000000
2:@0.342212:0.502263:0.351195:0.502263:0.351195:0.485829:0.342212:0.485829:0.000000
x:@0.351193:0.496197:0.355539:0.496197:0.355539:0.486632:0.351193:0.486632:0.000000
 es biyectiva. Su función:@0.368733:0.485490:0.549735:0.485490:0.549735:0.468821:0.368733:0.468821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversa está definida como :@0.103210:0.528981:0.301112:0.528981:0.301112:0.512547:0.103210:0.512547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log :@0.300867:0.528981:0.329424:0.528981:0.329424:0.512575:0.300867:0.512575:0.000000:0.000000:0.000000:0.000000
1:@0.330342:0.526527:0.335977:0.526527:0.335977:0.516219:0.330342:0.516219:0.000000
2:@0.330342:0.536357:0.335977:0.536357:0.335977:0.526049:0.330342:0.526049:0.000000
 : :@0.336887:0.528981:0.348465:0.528981:0.348465:0.512547:0.336887:0.512547:0.000000:0.000000:0.000000
1:@0.417713:0.527958:0.423348:0.527958:0.423348:0.517650:0.417713:0.517650:0.000000
2:@0.417713:0.537788:0.423348:0.537788:0.423348:0.527480:0.417713:0.527480:0.000000
ℝ:@0.358154:0.523894:0.371444:0.523894:0.371444:0.506240:0.358154:0.506240:0.000000
+:@0.371444:0.515987:0.377840:0.515987:0.377840:0.506406:0.371444:0.506406:0.000000
   :@0.377840:0.523311:0.402303:0.523311:0.402303:0.506877:0.377840:0.506877:0.000000:0.000000:0.000000
:@0.381871:0.522770:0.398272:0.522770:0.398272:0.506975:0.381871:0.506975:0.000000
ℝ:@0.402303:0.523894:0.415593:0.523894:0.415593:0.506240:0.402303:0.506240:0.000000
y:@0.358162:0.538442:0.365636:0.538442:0.365636:0.522035:0.358162:0.522035:0.000000
   :@0.365636:0.538442:0.390099:0.538442:0.390099:0.522008:0.365636:0.522008:0.000000:0.000000:0.000000
:@0.369667:0.537901:0.386068:0.537901:0.386068:0.522105:0.369667:0.522105:0.000000
log y:@0.390099:0.538442:0.432767:0.538442:0.432767:0.522035:0.390099:0.522035:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ):@0.412353:0.538442:0.437645:0.538442:0.437645:0.522008:0.412353:0.522008:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.447488:0.528981:0.450691:0.528981:0.450691:0.512547:0.447488:0.512547:0.000000
de modo que se tiene la siguiente equivalencia:   = :@0.103210:0.567065:0.478644:0.567065:0.478644:0.550632:0.103210:0.550632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.452359:0.567065:0.459832:0.567065:0.459832:0.550659:0.452359:0.550659:0.000000
exp x:@0.478552:0.567065:0.526945:0.567065:0.526945:0.550659:0.478552:0.550659:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ) :@0.502850:0.567065:0.535707:0.567065:0.535707:0.550632:0.502850:0.550632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.535615:0.566649:0.554795:0.566649:0.554795:0.549661:0.535615:0.549661:0.000000
   = :@0.554703:0.567065:0.584928:0.567065:0.584928:0.550632:0.554703:0.550632:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.558660:0.567065:0.566115:0.567065:0.566115:0.550659:0.558660:0.550659:0.000000
log y:@0.584836:0.567065:0.631001:0.567065:0.631001:0.550659:0.584836:0.550659:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ).:@0.606887:0.567065:0.638935:0.567065:0.638935:0.550632:0.606887:0.550632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La tabla de valores de la función :@0.103173:0.605148:0.339073:0.605148:0.339073:0.588714:0.103173:0.588714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log    :@0.338731:0.605148:0.381195:0.605149:0.381195:0.588743:0.338731:0.588741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.368169:0.597336:0.373804:0.597336:0.373804:0.587027:0.368169:0.587027:0.000000
2:@0.368169:0.607166:0.373804:0.607166:0.373804:0.596857:0.368169:0.596857:0.000000
es la que se detalla a continuación. Su gráfica :@0.381048:0.605149:0.710604:0.605149:0.710604:0.588715:0.381048:0.588715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se representa en la Figura 2.:@0.103209:0.621791:0.303864:0.621791:0.303864:0.605357:0.103209:0.605357:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103209:0.649153:0.127561:0.649153:0.127561:0.632746:0.103209:0.632746:0.000000:0.000000:0.000000
   (–3) = 2  = 8, :@0.127506:0.649153:0.234747:0.649154:0.234747:0.632720:0.127506:0.632719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.194674:0.643090:0.199911:0.643090:0.199911:0.633509:0.194674:0.633509:0.000000
log:@0.329118:0.649154:0.351225:0.649154:0.351225:0.632748:0.329118:0.632748:0.000000:0.000000:0.000000
   (8) = –3,:@0.351169:0.649154:0.421614:0.649154:0.421614:0.632720:0.351169:0.632720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103205:0.676516:0.127558:0.676516:0.127558:0.660110:0.103205:0.660110:0.000000:0.000000:0.000000
   (–2) = 2  = 4, :@0.127503:0.676516:0.234747:0.676517:0.234747:0.660083:0.127503:0.660082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.194674:0.670453:0.199911:0.670453:0.199911:0.660872:0.194674:0.660872:0.000000
log:@0.329118:0.676517:0.351225:0.676517:0.351225:0.660111:0.329118:0.660111:0.000000:0.000000:0.000000
   (4) = –2,:@0.351169:0.676517:0.421614:0.676517:0.421614:0.660083:0.351169:0.660083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103205:0.703879:0.127558:0.703879:0.127558:0.687473:0.103205:0.687473:0.000000:0.000000:0.000000
   (–1) = 2, :@0.127511:0.703880:0.201913:0.703880:0.201913:0.687446:0.127511:0.687446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.703880:0.351225:0.703880:0.351225:0.687474:0.329118:0.687474:0.000000:0.000000:0.000000
   (2) = –1,:@0.351169:0.703880:0.421614:0.703880:0.421614:0.687446:0.351169:0.687446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103205:0.731242:0.127558:0.731242:0.127558:0.714836:0.103205:0.714836:0.000000:0.000000:0.000000
   (0) = 1, :@0.127511:0.731243:0.192783:0.731243:0.192783:0.714810:0.127511:0.714810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.731243:0.351225:0.731243:0.351225:0.714837:0.329118:0.714837:0.000000:0.000000:0.000000
   (1) = 0,:@0.351169:0.731243:0.412484:0.731243:0.412484:0.714810:0.351169:0.714810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103205:0.758605:0.127558:0.758605:0.127558:0.742199:0.103205:0.742199:0.000000:0.000000:0.000000
   (1)   =     , :@0.127511:0.758607:0.207620:0.758607:0.207620:0.742173:0.127511:0.742173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.758607:0.351225:0.758607:0.351225:0.742201:0.329118:0.742201:0.000000:0.000000:0.000000
            = 1,:@0.351169:0.758607:0.425627:0.758607:0.425627:0.742173:0.351169:0.742173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exp:@0.103205:0.793111:0.127558:0.793111:0.127558:0.776705:0.103205:0.776705:0.000000:0.000000:0.000000
   (2) =     . :@0.127511:0.793117:0.200620:0.793117:0.200620:0.776683:0.127511:0.776683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.329118:0.793117:0.351225:0.793117:0.351225:0.776711:0.329118:0.776711:0.000000:0.000000:0.000000
            = 2.:@0.351169:0.793117:0.425627:0.793117:0.425627:0.776683:0.351169:0.776683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con esta función, para 0 <   < 1, se tiene :@0.103205:0.833682:0.399452:0.833682:0.399452:0.817248:0.103205:0.817248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.296739:0.833682:0.304194:0.833682:0.304194:0.817275:0.296739:0.817275:0.000000
log  x:@0.399268:0.833682:0.448299:0.833680:0.448299:0.817274:0.399268:0.817275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.425555:0.828546:0.431189:0.828546:0.431189:0.818238:0.425555:0.818238:0.000000
2:@0.425555:0.838377:0.431189:0.838377:0.431189:0.828068:0.425555:0.828068:0.000000
 ( ) > 0 y  :@0.432101:0.833680:0.500834:0.833680:0.500834:0.817246:0.432101:0.817246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para   > 1 se tiene :@0.103200:0.856369:0.238714:0.856369:0.238714:0.839935:0.103200:0.839935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.139131:0.856369:0.146586:0.856369:0.146586:0.839963:0.139131:0.839963:0.000000
log  x:@0.238549:0.856369:0.287582:0.856374:0.287582:0.839968:0.238549:0.839963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.264839:0.851240:0.270474:0.851240:0.270474:0.840931:0.264839:0.840931:0.000000
2:@0.264839:0.861070:0.270474:0.861070:0.270474:0.850761:0.264839:0.850761:0.000000
 ( ) < 0.  :@0.271384:0.856374:0.331263:0.856374:0.331263:0.839940:0.271384:0.839940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Además, la función es estrictamente decreciente::@0.103197:0.879062:0.458472:0.879062:0.458472:0.862628:0.103197:0.862628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.238472:0.907006:0.250749:0.907006:0.250749:0.889352:0.238472:0.889352:0.000000
x x:@0.250657:0.906424:0.277765:0.906430:0.277765:0.890024:0.250657:0.890018:0.000000:0.000000:0.000000
1:@0.258050:0.909602:0.263287:0.909602:0.263287:0.900021:0.258050:0.900021:0.000000
,     :@0.263241:0.906430:0.306122:0.906430:0.306122:0.889996:0.263241:0.889996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.277703:0.909602:0.282940:0.909602:0.282940:0.900021:0.277703:0.900021:0.000000
∈ ℝ:@0.286849:0.907012:0.319338:0.907012:0.319338:0.889358:0.286849:0.889358:0.000000:0.000000:0.000000
+:@0.319233:0.899105:0.325629:0.899105:0.325629:0.889524:0.319233:0.889524:0.000000
,   <   :@0.325582:0.906430:0.380634:0.906430:0.380634:0.889996:0.325582:0.889996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.332650:0.906430:0.340105:0.906430:0.340105:0.890024:0.332650:0.890024:0.000000
1:@0.340043:0.909602:0.345280:0.909602:0.345280:0.900021:0.340043:0.900021:0.000000
x =>   log  x:@0.364028:0.906430:0.450083:0.906430:0.450083:0.890024:0.364028:0.890024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.371412:0.909602:0.376649:0.909602:0.376649:0.900021:0.371412:0.900021:0.000000
1:@0.427339:0.903977:0.432973:0.903977:0.432973:0.893669:0.427339:0.893669:0.000000
2:@0.427339:0.913807:0.432973:0.913807:0.432973:0.903499:0.427339:0.903499:0.000000
 ( ) > :@0.433885:0.906430:0.478902:0.906430:0.478902:0.889996:0.433885:0.889996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.450021:0.909602:0.455258:0.909602:0.455258:0.900021:0.450021:0.900021:0.000000
log  x:@0.478792:0.906430:0.527824:0.906430:0.527824:0.890024:0.478792:0.890024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.505081:0.903084:0.510715:0.903084:0.510715:0.892775:0.505081:0.892775:0.000000
2:@0.505081:0.912914:0.510715:0.912914:0.510715:0.902605:0.505081:0.902605:0.000000
 ( ).:@0.511625:0.906430:0.540960:0.906430:0.540960:0.889996:0.511625:0.889996:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.527762:0.909602:0.532999:0.909602:0.532999:0.900021:0.527762:0.900021:0.000000
1:@0.194550:0.213864:0.200185:0.213864:0.200185:0.203555:0.194550:0.203555:0.000000
2:@0.194550:0.223694:0.200185:0.223694:0.200185:0.213386:0.194550:0.213386:0.000000
1:@0.154411:0.310445:0.163394:0.310445:0.163394:0.294011:0.154411:0.294011:0.000000
2:@0.154411:0.326837:0.163394:0.326837:0.163394:0.310403:0.154411:0.310403:0.000000
1:@0.200856:0.310445:0.209839:0.310445:0.209839:0.294011:0.200856:0.294011:0.000000
  2:@0.196825:0.328099:0.213870:0.328099:0.213870:0.311665:0.196825:0.311665:0.000000:0.000000:0.000000
1:@0.213523:0.488150:0.219158:0.488150:0.219158:0.477842:0.213523:0.477842:0.000000
2:@0.213523:0.497980:0.219158:0.497980:0.219158:0.487672:0.213523:0.487672:0.000000
1:@0.506433:0.556945:0.512068:0.556945:0.512068:0.546637:0.506433:0.546637:0.000000
2:@0.506433:0.566775:0.512068:0.566775:0.512068:0.556467:0.506433:0.556467:0.000000
1:@0.610077:0.556408:0.615712:0.556408:0.615712:0.546100:0.610077:0.546100:0.000000
2:@0.610077:0.566238:0.615712:0.566238:0.615712:0.555930:0.610077:0.555930:0.000000
1:@0.160228:0.754803:0.165862:0.754803:0.165862:0.744495:0.160228:0.744495:0.000000
2:@0.160228:0.764633:0.165862:0.764633:0.165862:0.754325:0.160228:0.754325:0.000000
1:@0.132174:0.644503:0.137808:0.644503:0.137808:0.634194:0.132174:0.634194:0.000000
2:@0.132174:0.654333:0.137808:0.654333:0.137808:0.644024:0.132174:0.644024:0.000000
1:@0.132174:0.671306:0.137808:0.671306:0.137808:0.660998:0.132174:0.660998:0.000000
2:@0.132174:0.681136:0.137808:0.681136:0.137808:0.670828:0.132174:0.670828:0.000000
1:@0.130988:0.700789:0.136622:0.700789:0.136622:0.690480:0.130988:0.690480:0.000000
2:@0.130988:0.710619:0.136622:0.710619:0.136622:0.700310:0.130988:0.700310:0.000000
1:@0.132174:0.727055:0.137808:0.727055:0.137808:0.716747:0.132174:0.716747:0.000000
2:@0.132174:0.736885:0.137808:0.736885:0.137808:0.726577:0.132174:0.726577:0.000000
1:@0.130988:0.754396:0.136622:0.754396:0.136622:0.744087:0.130988:0.744087:0.000000
2:@0.130988:0.764226:0.136622:0.764226:0.136622:0.753917:0.130988:0.753917:0.000000
1:@0.355117:0.645396:0.360752:0.645396:0.360752:0.635087:0.355117:0.635087:0.000000
2:@0.355117:0.655226:0.360752:0.655226:0.360752:0.644917:0.355117:0.644917:0.000000
1:@0.355117:0.673093:0.360752:0.673093:0.360752:0.662784:0.355117:0.662784:0.000000
2:@0.355117:0.682923:0.360752:0.682923:0.360752:0.672614:0.355117:0.672614:0.000000
1:@0.354642:0.700789:0.360276:0.700789:0.360276:0.690480:0.354642:0.690480:0.000000
2:@0.354642:0.710619:0.360276:0.710619:0.360276:0.700310:0.354642:0.700310:0.000000
1:@0.355117:0.727055:0.360752:0.727055:0.360752:0.716747:0.355117:0.716747:0.000000
2:@0.355117:0.736885:0.360752:0.736885:0.360752:0.726577:0.355117:0.726577:0.000000
1:@0.185998:0.751524:0.194981:0.751524:0.194981:0.735090:0.185998:0.735090:0.000000
2:@0.185998:0.767916:0.194981:0.767916:0.194981:0.751482:0.185998:0.751482:0.000000
1:@0.178883:0.784582:0.187865:0.784582:0.187865:0.768148:0.178883:0.768148:0.000000
4:@0.178883:0.800974:0.187865:0.800974:0.187865:0.784540:0.178883:0.784540:0.000000
1:@0.374973:0.753310:0.383956:0.753310:0.383956:0.736876:0.374973:0.736876:0.000000
2:@0.374973:0.769702:0.383956:0.769702:0.383956:0.753269:0.374973:0.753269:0.000000
1:@0.374973:0.787262:0.383956:0.787262:0.383956:0.770828:0.374973:0.770828:0.000000
4:@0.374973:0.803654:0.383956:0.803654:0.383956:0.787221:0.374973:0.787221:0.000000
1:@0.130988:0.786915:0.136622:0.786915:0.136622:0.776607:0.130988:0.776607:0.000000
2:@0.130988:0.796745:0.136622:0.796745:0.136622:0.786437:0.130988:0.786437:0.000000
1:@0.353930:0.755290:0.359565:0.755290:0.359565:0.744981:0.353930:0.744981:0.000000
2:@0.353930:0.765120:0.359565:0.765120:0.359565:0.754811:0.353930:0.754811:0.000000
1:@0.353930:0.784773:0.359565:0.784773:0.359565:0.774465:0.353930:0.774465:0.000000
2:@0.353930:0.794603:0.359565:0.794603:0.359565:0.784295:0.353930:0.784295:0.000000
p:@0.705409:0.851670:0.716876:0.851670:0.716876:0.841618:0.705409:0.841618:0.000000
 :@0.716876:0.852329:0.719808:0.852329:0.719808:0.840377:0.716876:0.840377:0.000000
Figura 2. Gráfica de la función :@0.719808:0.852329:0.879717:0.852329:0.879717:0.840377:0.719808:0.840377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log  x:@0.879717:0.852329:0.917236:0.852329:0.917236:0.840397:0.879717:0.840397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.901322:0.849624:0.905266:0.849624:0.905266:0.842408:0.901322:0.842408:0.000000
2:@0.901322:0.856505:0.905266:0.856505:0.905266:0.849289:0.901322:0.849289:0.000000
   .:@0.905951:0.852329:0.919565:0.852329:0.919565:0.840377:0.905951:0.840377:0.000000:0.000000:0.000000:0.000000
0:@0.729994:0.787942:0.735710:0.787942:0.735710:0.777484:0.729994:0.777484:0.000000
x:@0.920814:0.791868:0.926235:0.791868:0.926235:0.779936:0.920814:0.779936:0.000000
1:@0.754757:0.791034:0.760473:0.791034:0.760473:0.780576:0.754757:0.780576:0.000000
2:@0.773733:0.791034:0.779449:0.791034:0.779449:0.780576:0.773733:0.780576:0.000000
3:@0.792709:0.791034:0.798426:0.791034:0.798426:0.780576:0.792709:0.780576:0.000000
4:@0.811685:0.791034:0.817402:0.791034:0.817402:0.780576:0.811685:0.780576:0.000000
5:@0.830662:0.791034:0.836378:0.791034:0.836378:0.780576:0.830662:0.780576:0.000000
6:@0.849638:0.791034:0.855354:0.791034:0.855354:0.780576:0.849638:0.780576:0.000000
7:@0.868614:0.791034:0.874330:0.791034:0.874330:0.780576:0.868614:0.780576:0.000000
8:@0.887590:0.791034:0.893307:0.791034:0.893307:0.780576:0.887590:0.780576:0.000000
1:@0.726878:0.768089:0.732594:0.768089:0.732594:0.757631:0.726878:0.757631:0.000000
–1:@0.721021:0.796682:0.732594:0.796682:0.732594:0.786225:0.721021:0.786225:0.000000:0.000000
–2:@0.721021:0.810979:0.732594:0.810979:0.732594:0.800521:0.721021:0.800521:0.000000:0.000000
–3:@0.721021:0.825276:0.732594:0.825276:0.732594:0.814818:0.721021:0.814818:0.000000:0.000000
2:@0.726878:0.753801:0.732594:0.753801:0.732594:0.743343:0.726878:0.743343:0.000000
3:@0.726878:0.739504:0.732594:0.739504:0.732594:0.729046:0.726878:0.729046:0.000000
y:@0.726436:0.714002:0.731872:0.714002:0.731872:0.702070:0.726436:0.702070:0.000000
y:@0.833004:0.809524:0.839119:0.809524:0.839119:0.796101:0.833004:0.796101:0.000000
 = :@0.839119:0.809524:0.854691:0.809524:0.854691:0.796079:0.839119:0.796079:0.000000:0.000000:0.000000
log   x:@0.854691:0.809524:0.888412:0.809524:0.888412:0.796101:0.854691:0.796101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.878321:0.809524:0.892403:0.809524:0.892403:0.796079:0.878321:0.796079:0.000000:0.000000:0.000000
1:@0.871402:0.808659:0.875346:0.808659:0.875346:0.801443:0.871402:0.801443:0.000000
2:@0.871402:0.815540:0.875346:0.815540:0.875346:0.808324:0.871402:0.808324:0.000000
p:@0.705409:0.314613:0.716876:0.314613:0.716876:0.304561:0.705409:0.304561:0.000000
 :@0.716876:0.315272:0.719808:0.315272:0.719808:0.303320:0.716876:0.303320:0.000000
Figura 1. Gráfica de la función   = :@0.719808:0.315272:0.898994:0.315272:0.898994:0.303320:0.719808:0.303320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.879717:0.315272:0.885152:0.315272:0.885152:0.303340:0.879717:0.303340:0.000000
log x:@0.898994:0.315272:0.927954:0.315272:0.927954:0.303340:0.898994:0.303340:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.915176:0.317579:0.918985:0.317579:0.918985:0.310611:0.915176:0.310611:0.000000
( ).:@0.918985:0.315272:0.933831:0.315272:0.933831:0.303320:0.918985:0.303320:0.000000:0.000000:0.000000:0.000000
0:@0.728893:0.255427:0.734609:0.255427:0.734609:0.244969:0.728893:0.244969:0.000000
x:@0.919713:0.259354:0.925134:0.259354:0.925134:0.247422:0.919713:0.247422:0.000000
1:@0.753656:0.258520:0.759372:0.258520:0.759372:0.248062:0.753656:0.248062:0.000000
2:@0.772632:0.258520:0.778348:0.258520:0.778348:0.248062:0.772632:0.248062:0.000000
3:@0.791608:0.258520:0.797324:0.258520:0.797324:0.248062:0.791608:0.248062:0.000000
4:@0.810584:0.258520:0.816301:0.258520:0.816301:0.248062:0.810584:0.248062:0.000000
5:@0.829561:0.258520:0.835277:0.258520:0.835277:0.248062:0.829561:0.248062:0.000000
6:@0.848537:0.258520:0.854253:0.258520:0.854253:0.248062:0.848537:0.248062:0.000000
7:@0.867513:0.258520:0.873229:0.258520:0.873229:0.248062:0.867513:0.248062:0.000000
8:@0.886489:0.258520:0.892205:0.258520:0.892205:0.248062:0.886489:0.248062:0.000000
1:@0.725777:0.235574:0.731493:0.235574:0.731493:0.225116:0.725777:0.225116:0.000000
–1:@0.719920:0.264168:0.731493:0.264168:0.731493:0.253710:0.719920:0.253710:0.000000:0.000000
–2:@0.719920:0.278465:0.731493:0.278465:0.731493:0.268007:0.719920:0.268007:0.000000:0.000000
–3:@0.719920:0.292761:0.731493:0.292761:0.731493:0.282304:0.719920:0.282304:0.000000:0.000000
2:@0.725777:0.221286:0.731493:0.221286:0.731493:0.210828:0.725777:0.210828:0.000000
3:@0.725777:0.206989:0.731493:0.206989:0.731493:0.196531:0.725777:0.196531:0.000000
y:@0.725335:0.181487:0.730770:0.181487:0.730770:0.169555:0.725335:0.169555:0.000000
y:@0.824355:0.226498:0.830469:0.226498:0.830469:0.213075:0.824355:0.213075:0.000000
 = :@0.830469:0.226498:0.846042:0.226498:0.846042:0.213052:0.830469:0.213052:0.000000:0.000000:0.000000
log x:@0.846042:0.226498:0.878624:0.226498:0.878624:0.213075:0.846042:0.213075:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.864248:0.229094:0.868533:0.229094:0.868533:0.221255:0.864248:0.221255:0.000000
( ):@0.868534:0.226498:0.882615:0.226498:0.882615:0.213052:0.868534:0.213052:0.000000:0.000000:0.000000
Dr. Manuel, Wikimedia Commons:@0.884806:0.603435:0.884806:0.503434:0.872908:0.503434:0.872908:0.603435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.740294:0.382732:0.863703:0.382732:0.863703:0.367326:0.740294:0.367326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e :@0.740294:0.397861:0.833957:0.397861:0.833957:0.382921:0.740294:0.382921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
historia:@0.740294:0.412990:0.788641:0.412990:0.788641:0.398050:0.740294:0.398050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los logaritmos neperia-:@0.742665:0.441234:0.907492:0.441234:0.907492:0.425547:0.742665:0.425547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nos se denominan de :@0.742662:0.457120:0.898250:0.457120:0.898250:0.441433:0.742662:0.441433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta forma por el nom-:@0.742662:0.473005:0.902764:0.473005:0.902764:0.457318:0.742662:0.457318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bre de su inventor, John :@0.742662:0.488890:0.914186:0.488890:0.914186:0.473204:0.742662:0.473204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Napier, quien intentó :@0.742662:0.504776:0.894226:0.504776:0.894226:0.489089:0.742662:0.489089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establecer un procedi-:@0.742662:0.520661:0.899936:0.520661:0.899936:0.504974:0.742662:0.504974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento para agilizar los :@0.742662:0.536547:0.907896:0.536547:0.907896:0.520860:0.742662:0.520860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
complicados cálculos :@0.742662:0.552432:0.896633:0.552432:0.896633:0.536745:0.742662:0.536745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que debían realizarse en :@0.742662:0.568317:0.916418:0.568317:0.916418:0.552631:0.742662:0.552631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
astronomía:@0.742662:0.584203:0.825754:0.584203:0.825754:0.568291:0.742662:0.568291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y trigono-:@0.825754:0.584203:0.898742:0.584203:0.898742:0.568516:0.825754:0.568516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
metría.:@0.742662:0.600088:0.791017:0.600088:0.791017:0.584401:0.742662:0.584401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.742662:0.624300:0.794337:0.624300:0.794337:0.608388:0.742662:0.608388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre John Na-:@0.794513:0.624300:0.906367:0.624300:0.906367:0.608613:0.794513:0.608613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pier. Luego, :@0.742662:0.640186:0.828881:0.640186:0.828881:0.624499:0.742662:0.624499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elabora:@0.829057:0.640186:0.885300:0.640186:0.885300:0.624274:0.829057:0.624274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una :@0.885476:0.640186:0.920424:0.640186:0.920424:0.624499:0.885476:0.624499:0.000000:0.000000:0.000000:0.000000:0.000000
ficha bibliográfica.:@0.742662:0.656071:0.873001:0.656071:0.873001:0.640384:0.742662:0.640384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000