﻿117:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
 :@0.108233:0.096194:0.112375:0.096194:0.112375:0.079697:0.108233:0.079697:0.000000
Tenemos la equivalencia   = :@0.131968:0.096194:0.340495:0.096194:0.340495:0.079697:0.131968:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.312387:0.096310:0.320074:0.096310:0.320074:0.079841:0.312387:0.079841:0.000000
exp x:@0.341824:0.096310:0.384282:0.096310:0.384282:0.079841:0.341824:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.365900:0.099472:0.370853:0.099472:0.370853:0.089854:0.365900:0.089854:0.000000
( ) :@0.370854:0.096194:0.394377:0.096194:0.394377:0.079697:0.370854:0.079697:0.000000:0.000000:0.000000:0.000000
⇔:@0.395699:0.095412:0.414028:0.095412:0.414028:0.079240:0.395699:0.079240:0.000000
   = :@0.414028:0.096194:0.447395:0.096194:0.447395:0.079697:0.414028:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.419499:0.096310:0.426974:0.096310:0.426974:0.079841:0.419499:0.079841:0.000000
log y:@0.448725:0.096310:0.487633:0.096310:0.487633:0.079841:0.448725:0.079841:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.468760:0.099540:0.473994:0.099540:0.473994:0.089938:0.468760:0.089938:0.000000
( ). Una tabla de :@0.473993:0.096194:0.599930:0.096194:0.599930:0.079697:0.473993:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valores de la función :@0.131977:0.113545:0.283941:0.113545:0.283941:0.097047:0.131977:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.284519:0.113661:0.308312:0.113661:0.308312:0.097192:0.284519:0.097192:0.000000:0.000000:0.000000
2:@0.308324:0.116823:0.313277:0.116823:0.313277:0.107205:0.308324:0.107205:0.000000
 se obtiene con ayuda de la función ex-:@0.313276:0.113545:0.595762:0.113545:0.595762:0.097047:0.313276:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ponencial :@0.131970:0.130896:0.206103:0.130896:0.206103:0.114398:0.131970:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.206103:0.131011:0.231244:0.131011:0.231244:0.114543:0.206103:0.114543:0.000000:0.000000:0.000000
2:@0.231249:0.134174:0.236202:0.134174:0.236202:0.124556:0.231249:0.124556:0.000000
; su gráfica se muestra en la Figura 4.7.:@0.236203:0.130896:0.502445:0.130896:0.502445:0.114398:0.236203:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108242:0.165597:0.112384:0.165597:0.112384:0.149100:0.108242:0.149100:0.000000
exp:@0.182317:0.165713:0.206418:0.165713:0.206418:0.149244:0.182317:0.149244:0.000000:0.000000:0.000000
2:@0.206404:0.168875:0.211357:0.168875:0.211357:0.159257:0.206404:0.159257:0.000000
(0) = 1, :@0.211357:0.165597:0.266244:0.165597:0.266244:0.149100:0.211357:0.149100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.436106:0.165713:0.455968:0.165713:0.455968:0.149244:0.436106:0.149244:0.000000:0.000000:0.000000
2:@0.455966:0.168875:0.460919:0.168875:0.460919:0.159257:0.455966:0.159257:0.000000
(1) = 0,:@0.460920:0.165597:0.511664:0.165597:0.511664:0.149100:0.460920:0.149100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108231:0.200299:0.112373:0.200299:0.112373:0.183801:0.108231:0.183801:0.000000
exp:@0.151789:0.200414:0.175890:0.200414:0.175890:0.183946:0.151789:0.183946:0.000000:0.000000:0.000000
2:@0.175888:0.203577:0.180841:0.203577:0.180841:0.193959:0.175888:0.193959:0.000000
        = 2   =    2 , :@0.180841:0.200299:0.296760:0.200299:0.296760:0.183801:0.180841:0.183801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.429730:0.200414:0.449592:0.200414:0.449592:0.183946:0.429730:0.183946:0.000000:0.000000:0.000000
2:@0.449600:0.203577:0.454553:0.203577:0.454553:0.193959:0.449600:0.193959:0.000000
   2  =     ,:@0.454552:0.200299:0.518031:0.200299:0.518031:0.183801:0.454552:0.183801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.235000:0.112382:0.235000:0.112382:0.218503:0.108240:0.218503:0.000000
exp:@0.166036:0.235116:0.190136:0.235116:0.190136:0.218647:0.166036:0.218647:0.000000:0.000000:0.000000
2:@0.190134:0.238278:0.195087:0.238278:0.195087:0.228660:0.190134:0.228660:0.000000
(1) = 2  = 2, :@0.195088:0.235000:0.282514:0.235000:0.282514:0.218503:0.195088:0.218503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.243075:0.228648:0.248028:0.228648:0.248028:0.219030:0.243075:0.219030:0.000000
log:@0.436096:0.235116:0.455958:0.235116:0.455958:0.218647:0.436096:0.218647:0.000000:0.000000:0.000000
2:@0.455966:0.238278:0.460919:0.238278:0.460919:0.228660:0.455966:0.228660:0.000000
(2) = 1,:@0.460920:0.235000:0.511664:0.235000:0.511664:0.218503:0.460920:0.218503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108231:0.269702:0.112373:0.269702:0.112373:0.253204:0.108231:0.253204:0.000000
exp:@0.166027:0.269817:0.190128:0.269817:0.190128:0.253349:0.166027:0.253349:0.000000:0.000000:0.000000
2:@0.190134:0.272980:0.195087:0.272980:0.195087:0.263362:0.190134:0.263362:0.000000
(2) = 2  = 4, :@0.195088:0.269702:0.282514:0.269702:0.282514:0.253204:0.195088:0.253204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.243075:0.263350:0.248028:0.263350:0.248028:0.253732:0.243075:0.253732:0.000000
log:@0.436096:0.269817:0.455958:0.269817:0.455958:0.253349:0.436096:0.253349:0.000000:0.000000:0.000000
2:@0.455966:0.272980:0.460919:0.272980:0.460919:0.263362:0.455966:0.263362:0.000000
(4) = 2,:@0.460920:0.269702:0.511664:0.269702:0.511664:0.253204:0.460920:0.253204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108231:0.304403:0.112373:0.304403:0.112373:0.287906:0.108231:0.287906:0.000000
exp:@0.162501:0.304519:0.186602:0.304519:0.186602:0.288050:0.162501:0.288050:0.000000:0.000000:0.000000
2:@0.186609:0.307681:0.191562:0.307681:0.191562:0.298063:0.186609:0.298063:0.000000
  –       =       , :@0.191563:0.304403:0.286039:0.304403:0.286039:0.287906:0.191563:0.287906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.414385:0.304519:0.434247:0.304519:0.434247:0.288050:0.414385:0.288050:0.000000:0.000000:0.000000
2:@0.434245:0.307681:0.439198:0.307681:0.439198:0.298063:0.434245:0.298063:0.000000
           = –    ,:@0.439198:0.304403:0.533386:0.304403:0.533386:0.287906:0.439198:0.287906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.342662:0.112382:0.342662:0.112382:0.326164:0.108240:0.326164:0.000000
exp:@0.173030:0.342777:0.197130:0.342777:0.197130:0.326309:0.173030:0.326309:0.000000:0.000000:0.000000
2:@0.197118:0.345947:0.202071:0.345947:0.202071:0.336329:0.197118:0.336329:0.000000
(–1) =     . :@0.202072:0.342669:0.275530:0.342669:0.275530:0.326172:0.202072:0.326172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.426550:0.342785:0.446413:0.342785:0.446413:0.326316:0.426550:0.326316:0.000000:0.000000:0.000000
2:@0.446420:0.345947:0.451374:0.345947:0.451374:0.336329:0.446420:0.336329:0.000000
        = –1.:@0.451374:0.342669:0.521211:0.342669:0.521211:0.326172:0.451374:0.326172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.377371:0.112382:0.377371:0.112382:0.360873:0.108240:0.360873:0.000000
Observa que para 0 <   < 1, se tiene :@0.131975:0.377371:0.403260:0.377371:0.403260:0.360873:0.131975:0.360873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.297190:0.377486:0.304664:0.377486:0.304664:0.361018:0.297190:0.361018:0.000000
log x:@0.404686:0.377486:0.442980:0.377486:0.442980:0.361018:0.404686:0.361018:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.424599:0.380649:0.429552:0.380649:0.429552:0.371031:0.424599:0.371031:0.000000
( ) < 0, y para   > 1 es :@0.429552:0.377371:0.599875:0.377371:0.599875:0.360873:0.429552:0.360873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.537879:0.377486:0.545354:0.377486:0.545354:0.361018:0.537879:0.361018:0.000000
log x:@0.131981:0.394837:0.170219:0.394837:0.170219:0.378368:0.131981:0.378368:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.151838:0.397999:0.156791:0.397999:0.156791:0.388381:0.151838:0.388381:0.000000
( ) > 0. La función logarítmica de base 2 es estrictamente cre-:@0.156792:0.394721:0.595804:0.394721:0.595804:0.378224:0.156792:0.378224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciente::@0.131978:0.412072:0.177848:0.412072:0.177848:0.395575:0.131978:0.395575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.202819:0.428779:0.215958:0.428779:0.215958:0.411836:0.202819:0.411836:0.000000
x x:@0.215956:0.429539:0.242755:0.429539:0.242755:0.413070:0.215956:0.413070:0.000000:0.000000:0.000000
1:@0.223431:0.432701:0.228384:0.432701:0.228384:0.423083:0.223431:0.423083:0.000000
,     ]0, ∞[,   <     :@0.228383:0.429423:0.381038:0.429423:0.381038:0.412925:0.228383:0.412925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.242755:0.432701:0.247708:0.432701:0.247708:0.423083:0.242755:0.423083:0.000000
:@0.251850:0.429300:0.259994:0.429300:0.259994:0.414039:0.251850:0.414039:0.000000
x:@0.311451:0.429539:0.318925:0.429539:0.318925:0.413070:0.311451:0.413070:0.000000
1:@0.318925:0.432701:0.323878:0.432701:0.323878:0.423083:0.318925:0.423083:0.000000
x:@0.342970:0.429539:0.350445:0.429539:0.350445:0.413070:0.342970:0.413070:0.000000
2:@0.350444:0.432701:0.355397:0.432701:0.355397:0.423083:0.350444:0.423083:0.000000
⇒:@0.359539:0.428640:0.376900:0.428640:0.376900:0.412468:0.359539:0.412468:0.000000
log x:@0.381038:0.429539:0.419282:0.429539:0.419282:0.413070:0.381038:0.413070:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.400901:0.432701:0.405854:0.432701:0.405854:0.423083:0.400901:0.423083:0.000000
( ) < :@0.405854:0.429423:0.449278:0.429423:0.449278:0.412925:0.405854:0.412925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.419282:0.432701:0.424235:0.432701:0.424235:0.423083:0.419282:0.423083:0.000000
log x:@0.449278:0.429539:0.487522:0.429539:0.487522:0.413070:0.449278:0.413070:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.469140:0.432701:0.474093:0.432701:0.474093:0.423083:0.469140:0.423083:0.000000
( ).:@0.474094:0.429423:0.501182:0.429423:0.501182:0.412925:0.474094:0.412925:0.000000:0.000000:0.000000:0.000000
2:@0.487521:0.432701:0.492474:0.432701:0.492474:0.423083:0.487521:0.423083:0.000000
2.:@0.108229:0.471470:0.120501:0.471470:0.120501:0.454755:0.108229:0.454755:0.000000:0.000000
  La función :@0.120501:0.471253:0.211449:0.471253:0.211449:0.454756:0.120501:0.454756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Exp:@0.211449:0.471369:0.236590:0.471369:0.236590:0.454900:0.211449:0.454900:0.000000:0.000000:0.000000
  :                                     es biyectiva. Su función:@0.236592:0.471253:0.566487:0.471253:0.566487:0.454756:0.236592:0.454756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108229:0.516639:0.112371:0.516639:0.112371:0.500142:0.108229:0.500142:0.000000
inversa está definida como :@0.131963:0.516639:0.326020:0.516639:0.326020:0.500142:0.131963:0.500142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.326020:0.516755:0.349812:0.516755:0.349812:0.500286:0.326020:0.500286:0.000000:0.000000:0.000000
  :                         ,:@0.349814:0.516639:0.469278:0.516639:0.469278:0.500142:0.349814:0.500142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108229:0.551804:0.112371:0.551804:0.112371:0.535306:0.108229:0.535306:0.000000
de modo que se tiene la siguiente equivalencia::@0.131963:0.551804:0.465304:0.551804:0.465304:0.535306:0.131963:0.535306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y exp x:@0.260886:0.576398:0.333477:0.576398:0.333477:0.559930:0.260886:0.559930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.268573:0.576283:0.287665:0.576283:0.287665:0.559785:0.268573:0.559785:0.000000:0.000000:0.000000
  ( )     = :@0.311765:0.576283:0.392615:0.576296:0.392615:0.559798:0.311765:0.559785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.343577:0.575513:0.361906:0.575513:0.361906:0.559341:0.343577:0.559341:0.000000
x log y:@0.366048:0.576412:0.434401:0.576412:0.434401:0.559943:0.366048:0.559943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ).:@0.412478:0.576296:0.443109:0.576296:0.443109:0.559798:0.412478:0.559798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108241:0.593647:0.112383:0.593647:0.112383:0.577149:0.108241:0.577149:0.000000
 :@0.108240:0.610997:0.112382:0.610997:0.112382:0.594500:0.108240:0.594500:0.000000
La tabla de valores de la función :@0.131975:0.610997:0.364117:0.610997:0.364117:0.594500:0.131975:0.594500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log  :@0.364117:0.611113:0.396192:0.611113:0.396192:0.594644:0.364117:0.594644:0.000000:0.000000:0.000000:0.000000:0.000000
  es la que se detalla a:@0.396192:0.610997:0.547846:0.610997:0.547846:0.594500:0.396192:0.594500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.635476:0.112382:0.635476:0.112382:0.618978:0.108240:0.618978:0.000000
continuación. Su gráfica se representa en la Figura 4.8.:@0.131975:0.635476:0.510826:0.635476:0.510826:0.618978:0.131975:0.618978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108240:0.667156:0.112382:0.667156:0.112382:0.650658:0.108240:0.650658:0.000000
exp:@0.159120:0.667272:0.183221:0.667272:0.183221:0.650803:0.159120:0.650803:0.000000:0.000000:0.000000
  (–3) = 2  = 8, :@0.183221:0.667156:0.289428:0.667160:0.289428:0.650662:0.183221:0.650658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.249990:0.660808:0.254943:0.660808:0.254943:0.651190:0.249990:0.651190:0.000000
log:@0.429197:0.667275:0.449060:0.667275:0.449060:0.650807:0.429197:0.650807:0.000000:0.000000:0.000000
  (8) = –3,:@0.449060:0.667160:0.518588:0.667160:0.518588:0.650662:0.449060:0.650662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.698840:0.112381:0.698840:0.112381:0.682342:0.108239:0.682342:0.000000
exp:@0.159118:0.698956:0.183219:0.698956:0.183219:0.682487:0.159118:0.682487:0.000000:0.000000:0.000000
  (–2) = 2  = 4, :@0.183219:0.698840:0.289428:0.698844:0.289428:0.682346:0.183219:0.682342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.249990:0.692492:0.254943:0.692492:0.254943:0.682874:0.249990:0.682874:0.000000
log:@0.429197:0.698959:0.449060:0.698959:0.449060:0.682491:0.429197:0.682491:0.000000:0.000000:0.000000
  (4) = –2,:@0.449060:0.698844:0.518588:0.698844:0.518588:0.682346:0.449060:0.682346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.730524:0.112381:0.730524:0.112381:0.714026:0.108239:0.714026:0.000000
exp:@0.175397:0.730640:0.199498:0.730640:0.199498:0.714171:0.175397:0.714171:0.000000:0.000000:0.000000
  (–1) = 2, :@0.199498:0.730524:0.273168:0.730524:0.273168:0.714026:0.199498:0.714026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.429197:0.730640:0.449060:0.730640:0.449060:0.714171:0.429197:0.714171:0.000000:0.000000:0.000000
  (2) = –1,:@0.449060:0.730524:0.518588:0.730524:0.518588:0.714026:0.449060:0.714026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.762203:0.112381:0.762203:0.112381:0.745705:0.108239:0.745705:0.000000
exp:@0.180637:0.762319:0.204738:0.762319:0.204738:0.745850:0.180637:0.745850:0.000000:0.000000:0.000000
  (0) = 1, :@0.204738:0.762203:0.267909:0.762203:0.267909:0.745705:0.204738:0.745705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.434437:0.762319:0.454300:0.762319:0.454300:0.745850:0.434437:0.745850:0.000000:0.000000:0.000000
  (1) = 0,:@0.454300:0.762203:0.513329:0.762203:0.513329:0.745705:0.454300:0.745705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.796904:0.112381:0.796904:0.112381:0.780407:0.108239:0.780407:0.000000
exp:@0.176611:0.797020:0.200712:0.797020:0.200712:0.780551:0.176611:0.780551:0.000000:0.000000:0.000000
  (1) =     , :@0.200712:0.796904:0.271955:0.796904:0.271955:0.780407:0.200712:0.780407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.428080:0.797020:0.447942:0.797020:0.447942:0.780551:0.428080:0.780551:0.000000:0.000000:0.000000
           = 1,:@0.447942:0.796904:0.519705:0.796904:0.519705:0.780407:0.447942:0.780407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.835163:0.112381:0.835163:0.112381:0.818665:0.108239:0.818665:0.000000
exp:@0.176129:0.835278:0.200230:0.835278:0.200230:0.818810:0.176129:0.818810:0.000000:0.000000:0.000000
  (2) =     . :@0.200230:0.835163:0.272436:0.835163:0.272436:0.818665:0.200230:0.818665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.428080:0.835278:0.447942:0.835278:0.447942:0.818810:0.428080:0.818810:0.000000:0.000000:0.000000
           = 2.:@0.447942:0.835163:0.519705:0.835163:0.519705:0.818665:0.447942:0.818665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108239:0.882270:0.112381:0.882270:0.112381:0.865772:0.108239:0.865772:0.000000
Con esta función, para 0 <   < 1, se tiene :@0.131973:0.882270:0.419854:0.882270:0.419854:0.865772:0.131973:0.865772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.321100:0.882386:0.328575:0.882386:0.328575:0.865917:0.321100:0.865917:0.000000
log x:@0.419449:0.882386:0.460214:0.882386:0.460214:0.865917:0.419449:0.865917:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ) > 0 y para   > 1 se :@0.439312:0.882270:0.599907:0.882270:0.599907:0.865772:0.439312:0.865772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.543209:0.882386:0.550684:0.882386:0.550684:0.865917:0.543209:0.865917:0.000000
tiene     ( ) < 0. Además, la función es estrictamente decreciente::@0.131973:0.904898:0.595820:0.904898:0.595820:0.888401:0.131973:0.888401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.170927:0.905014:0.214390:0.905014:0.214390:0.888545:0.170927:0.888545:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.208149:0.941928:0.219722:0.941928:0.219722:0.922929:0.208149:0.922929:0.000000
x x:@0.219729:0.934457:0.246529:0.934457:0.246529:0.917988:0.219729:0.917988:0.000000:0.000000:0.000000
1:@0.227204:0.937619:0.232157:0.937619:0.232157:0.928001:0.227204:0.928001:0.000000
,   :@0.232157:0.934341:0.255623:0.934341:0.255623:0.917844:0.232157:0.917844:0.000000:0.000000:0.000000:0.000000
2:@0.246527:0.937619:0.251481:0.937619:0.251481:0.928001:0.246527:0.928001:0.000000
∈:@0.255622:0.934153:0.267914:0.934153:0.267914:0.917516:0.255622:0.917516:0.000000
 :@0.267914:0.934637:0.273036:0.934637:0.273036:0.917654:0.267914:0.917654:0.000000
:@0.273036:0.933227:0.286028:0.933227:0.286028:0.918760:0.273036:0.918760:0.000000
+:@0.286028:0.926732:0.292329:0.926732:0.292329:0.917114:0.286028:0.917114:0.000000
,   <     :@0.292328:0.934341:0.369047:0.934341:0.369047:0.917844:0.292328:0.917844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.299225:0.934457:0.306700:0.934457:0.306700:0.917988:0.299225:0.917988:0.000000
1:@0.306700:0.937619:0.311654:0.937619:0.311654:0.928001:0.306700:0.928001:0.000000
x:@0.330746:0.934457:0.338221:0.934457:0.338221:0.917988:0.330746:0.917988:0.000000
2:@0.338220:0.937619:0.343173:0.937619:0.343173:0.928001:0.338220:0.928001:0.000000
⇒:@0.347315:0.933994:0.364905:0.933994:0.364905:0.918113:0.347315:0.918113:0.000000
log x:@0.369047:0.934457:0.410621:0.934457:0.410621:0.917988:0.369047:0.917988:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ) > :@0.388909:0.934341:0.440617:0.934341:0.440617:0.917844:0.388909:0.917844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.410621:0.937619:0.415574:0.937619:0.415574:0.928001:0.410621:0.928001:0.000000
log x:@0.440617:0.934457:0.482192:0.934457:0.482192:0.917988:0.440617:0.917988:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ).:@0.460480:0.934341:0.495852:0.934341:0.495852:0.917844:0.460480:0.917844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.482190:0.937619:0.487143:0.937619:0.487143:0.928001:0.482190:0.928001:0.000000
p:@0.629402:0.263069:0.640882:0.263069:0.640882:0.253044:0.629402:0.253044:0.000000
 :@0.640882:0.263777:0.643764:0.263777:0.643764:0.252300:0.640882:0.252300:0.000000
Figura 4.7. Gráfica de la función   = :@0.643764:0.263777:0.819675:0.263777:0.819675:0.252300:0.643764:0.252300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y log x:@0.801046:0.263857:0.846278:0.263857:0.846278:0.252401:0.801046:0.252401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.833491:0.266057:0.836937:0.266057:0.836937:0.259366:0.833491:0.259366:0.000000
( ).:@0.836937:0.263777:0.852336:0.263777:0.852336:0.252300:0.836937:0.252300:0.000000:0.000000:0.000000:0.000000
p:@0.629402:0.842319:0.640882:0.842319:0.640882:0.832294:0.629402:0.832294:0.000000
 :@0.640882:0.843027:0.643764:0.843027:0.643764:0.831550:0.640882:0.831550:0.000000
Figura 4.8. Gráfica de la función :@0.643764:0.843027:0.801046:0.843027:0.801046:0.831550:0.643764:0.831550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log x:@0.801046:0.843107:0.831444:0.843107:0.831444:0.831651:0.801046:0.831651:0.000000:0.000000:0.000000:0.000000:0.000000
    .:@0.817600:0.843027:0.833361:0.843027:0.833361:0.831550:0.817600:0.831550:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.192699:0.192742:0.201195:0.192742:0.201195:0.176245:0.192699:0.176245:0.000000
2:@0.192699:0.209081:0.201195:0.209081:0.201195:0.192583:0.192699:0.192583:0.000000
1:@0.216877:0.297267:0.225373:0.297267:0.225373:0.280769:0.216877:0.280769:0.000000
2:@0.216877:0.313605:0.225373:0.313605:0.225373:0.297108:0.216877:0.297108:0.000000
1:@0.255942:0.335418:0.264438:0.335418:0.264438:0.318921:0.255942:0.318921:0.000000
2:@0.255942:0.351757:0.264438:0.351757:0.264438:0.335259:0.255942:0.335259:0.000000
1:@0.516276:0.297267:0.524772:0.297267:0.524772:0.280769:0.516276:0.280769:0.000000
2:@0.516276:0.313605:0.524772:0.313605:0.524772:0.297108:0.516276:0.297108:0.000000
1:@0.263374:0.297267:0.271870:0.297267:0.271870:0.280769:0.263374:0.280769:0.000000
  2:@0.259135:0.314863:0.276012:0.314863:0.276012:0.298366:0.259135:0.298366:0.000000:0.000000:0.000000
1:@0.457701:0.297267:0.466197:0.297267:0.466197:0.280769:0.457701:0.280769:0.000000
  2:@0.453463:0.314863:0.470339:0.314863:0.470339:0.298366:0.453463:0.298366:0.000000:0.000000:0.000000
1:@0.502874:0.192742:0.511370:0.192742:0.511370:0.176245:0.502874:0.176245:0.000000
2:@0.502874:0.209081:0.511370:0.209081:0.511370:0.192583:0.502874:0.192583:0.000000
1:@0.238786:0.184188:0.243884:0.184188:0.243884:0.174289:0.238786:0.174289:0.000000
2:@0.238786:0.193991:0.243884:0.193991:0.243884:0.184092:0.238786:0.184092:0.000000
1:@0.462565:0.335418:0.471061:0.335418:0.471061:0.318921:0.462565:0.318921:0.000000
2:@0.462565:0.351757:0.471061:0.351757:0.471061:0.335259:0.462565:0.335259:0.000000
1:@0.237826:0.469399:0.242924:0.469399:0.242924:0.459500:0.237826:0.459500:0.000000
2:@0.237826:0.479202:0.242924:0.479202:0.242924:0.469303:0.237826:0.469303:0.000000
1:@0.353250:0.514591:0.358348:0.514591:0.358348:0.504693:0.353250:0.504693:0.000000
2:@0.353250:0.524394:0.358348:0.524394:0.358348:0.514496:0.353250:0.514496:0.000000
1:@0.325237:0.478781:0.330334:0.478781:0.330334:0.468882:0.325237:0.468882:0.000000
2:@0.325237:0.488584:0.330334:0.488584:0.330334:0.478685:0.325237:0.478685:0.000000
:@0.267728:0.462024:0.281032:0.462024:0.281032:0.449162:0.267728:0.449162:0.000000
   :@0.281032:0.463111:0.305461:0.463111:0.305461:0.446613:0.281032:0.446613:0.000000:0.000000:0.000000
→:@0.285174:0.471210:0.301319:0.471210:0.301319:0.451347:0.285174:0.451347:0.000000
:@0.305459:0.462024:0.318764:0.462024:0.318764:0.449162:0.305459:0.449162:0.000000
+:@0.318762:0.455502:0.325063:0.455502:0.325063:0.445884:0.318762:0.445884:0.000000
x:@0.267728:0.480578:0.275203:0.480578:0.275203:0.464109:0.267728:0.464109:0.000000
   :@0.275203:0.480462:0.299631:0.480462:0.299631:0.463964:0.275203:0.463964:0.000000:0.000000:0.000000
→:@0.279345:0.488561:0.295489:0.488561:0.295489:0.468698:0.279345:0.468698:0.000000
exp x:@0.299631:0.480578:0.345444:0.480578:0.345444:0.464109:0.299631:0.464109:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ) =:@0.323732:0.480462:0.366346:0.480462:0.366346:0.463964:0.323732:0.463964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.381644:0.508693:0.394949:0.508693:0.394949:0.495830:0.381644:0.495830:0.000000
+:@0.394949:0.502171:0.401250:0.502171:0.401250:0.492552:0.394949:0.492552:0.000000
   :@0.401249:0.509780:0.425678:0.509780:0.425678:0.493282:0.401249:0.493282:0.000000:0.000000:0.000000
→:@0.405391:0.517879:0.421536:0.517879:0.421536:0.498016:0.405391:0.498016:0.000000
:@0.425676:0.508693:0.438981:0.508693:0.438981:0.495830:0.425676:0.495830:0.000000
y:@0.381644:0.527246:0.389331:0.527246:0.389331:0.510777:0.381644:0.510777:0.000000
   :@0.389331:0.527130:0.413759:0.527130:0.413759:0.510633:0.389331:0.510633:0.000000:0.000000:0.000000
→:@0.393473:0.535229:0.409617:0.535229:0.409617:0.515367:0.393473:0.515367:0.000000
log y:@0.413759:0.527246:0.455545:0.527246:0.455545:0.510777:0.413759:0.510777:0.000000:0.000000:0.000000:0.000000:0.000000
  ( ):@0.433622:0.527130:0.461498:0.527130:0.461498:0.510633:0.433622:0.510633:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.375655:0.472949:0.384151:0.472949:0.384151:0.456452:0.375655:0.456452:0.000000
2:@0.373478:0.489288:0.381974:0.489288:0.381974:0.472790:0.373478:0.472790:0.000000
x:@0.382068:0.483010:0.386426:0.483010:0.386426:0.473409:0.382068:0.473409:0.000000
1:@0.436002:0.525591:0.441100:0.525591:0.441100:0.515693:0.436002:0.515693:0.000000
2:@0.436002:0.535395:0.441100:0.535395:0.441100:0.525496:0.436002:0.525496:0.000000
1:@0.313510:0.574419:0.318608:0.574419:0.318608:0.564520:0.313510:0.564520:0.000000
2:@0.313510:0.584222:0.318608:0.584222:0.318608:0.574323:0.313510:0.574323:0.000000
1:@0.414499:0.574419:0.419596:0.574419:0.419596:0.564520:0.414499:0.564520:0.000000
2:@0.414499:0.584222:0.419596:0.584222:0.419596:0.574323:0.414499:0.574323:0.000000
1:@0.391436:0.608722:0.396533:0.608722:0.396533:0.598823:0.391436:0.598823:0.000000
2:@0.391436:0.618525:0.396533:0.618525:0.396533:0.608626:0.391436:0.608626:0.000000
1:@0.184735:0.664736:0.189832:0.664736:0.189832:0.654837:0.184735:0.654837:0.000000
2:@0.184735:0.674539:0.189832:0.674539:0.189832:0.664640:0.184735:0.664640:0.000000
1:@0.184735:0.696525:0.189832:0.696525:0.189832:0.686627:0.184735:0.686627:0.000000
2:@0.184735:0.706328:0.189832:0.706328:0.189832:0.696430:0.184735:0.696430:0.000000
1:@0.200656:0.727958:0.205754:0.727958:0.205754:0.718059:0.200656:0.718059:0.000000
2:@0.200656:0.737761:0.205754:0.737761:0.205754:0.727862:0.200656:0.727862:0.000000
1:@0.206158:0.760648:0.211255:0.760648:0.211255:0.750749:0.206158:0.750749:0.000000
2:@0.206158:0.770451:0.211255:0.770451:0.211255:0.760552:0.206158:0.760552:0.000000
1:@0.202331:0.794595:0.207429:0.794595:0.207429:0.784696:0.202331:0.784696:0.000000
2:@0.202331:0.804398:0.207429:0.804398:0.207429:0.794499:0.202331:0.794499:0.000000
1:@0.201857:0.833362:0.206955:0.833362:0.206955:0.823464:0.201857:0.823464:0.000000
2:@0.201857:0.843166:0.206955:0.843166:0.206955:0.833267:0.201857:0.833267:0.000000
1:@0.450913:0.664736:0.456011:0.664736:0.456011:0.654837:0.450913:0.654837:0.000000
2:@0.450913:0.674539:0.456011:0.674539:0.456011:0.664640:0.450913:0.664640:0.000000
1:@0.450913:0.696525:0.456011:0.696525:0.456011:0.686627:0.450913:0.686627:0.000000
2:@0.450913:0.706328:0.456011:0.706328:0.456011:0.696430:0.450913:0.696430:0.000000
1:@0.450913:0.727958:0.456011:0.727958:0.456011:0.718059:0.450913:0.718059:0.000000
2:@0.450913:0.737761:0.456011:0.737761:0.456011:0.727862:0.450913:0.727862:0.000000
1:@0.456889:0.760648:0.461987:0.760648:0.461987:0.750749:0.456889:0.750749:0.000000
2:@0.456889:0.770451:0.461987:0.770451:0.461987:0.760552:0.456889:0.760552:0.000000
1:@0.451863:0.794595:0.456961:0.794595:0.456961:0.784696:0.451863:0.784696:0.000000
2:@0.451863:0.804398:0.456961:0.804398:0.456961:0.794499:0.451863:0.794499:0.000000
1:@0.451863:0.833362:0.456961:0.833362:0.456961:0.823464:0.451863:0.823464:0.000000
2:@0.451863:0.843166:0.456961:0.843166:0.456961:0.833267:0.451863:0.833267:0.000000
1:@0.253093:0.788800:0.261589:0.788800:0.261589:0.772302:0.253093:0.772302:0.000000
2:@0.253093:0.805138:0.261589:0.805138:0.261589:0.788641:0.253093:0.788641:0.000000
1:@0.252617:0.827567:0.261113:0.827567:0.261113:0.811070:0.252617:0.811070:0.000000
4:@0.252617:0.843906:0.261113:0.843906:0.261113:0.827408:0.252617:0.827408:0.000000
1:@0.469710:0.789006:0.478206:0.789006:0.478206:0.772508:0.469710:0.772508:0.000000
2:@0.469710:0.805345:0.478206:0.805345:0.478206:0.788847:0.469710:0.788847:0.000000
1:@0.469710:0.827775:0.478206:0.827775:0.478206:0.811277:0.469710:0.811277:0.000000
4:@0.469710:0.844114:0.478206:0.844114:0.478206:0.827616:0.469710:0.827616:0.000000
1:@0.193533:0.894545:0.198630:0.894545:0.198630:0.884647:0.193533:0.884647:0.000000
2:@0.193533:0.904348:0.198630:0.904348:0.198630:0.894450:0.193533:0.894450:0.000000
1:@0.440902:0.883021:0.446000:0.883021:0.446000:0.873122:0.440902:0.873122:0.000000
2:@0.440902:0.892824:0.446000:0.892824:0.446000:0.882925:0.440902:0.882925:0.000000
1:@0.390131:0.935679:0.395228:0.935679:0.395228:0.925781:0.390131:0.925781:0.000000
2:@0.390131:0.945483:0.395228:0.945483:0.395228:0.935584:0.390131:0.935584:0.000000
1:@0.462166:0.935679:0.467264:0.935679:0.467264:0.925781:0.462166:0.925781:0.000000
2:@0.462166:0.945483:0.467264:0.945483:0.467264:0.935584:0.462166:0.935584:0.000000
1:@0.820367:0.841827:0.823936:0.841827:0.823936:0.834898:0.820367:0.834898:0.000000
2:@0.820367:0.848689:0.823936:0.848689:0.823936:0.841760:0.820367:0.841760:0.000000
0:@0.654291:0.778771:0.659462:0.778771:0.659462:0.768729:0.654291:0.768729:0.000000
x:@0.845159:0.782811:0.850359:0.782811:0.850359:0.771354:0.845159:0.771354:0.000000
1:@0.679081:0.781855:0.684252:0.781855:0.684252:0.771813:0.679081:0.771813:0.000000
2:@0.698078:0.781855:0.703250:0.781855:0.703250:0.771813:0.698078:0.771813:0.000000
3:@0.717075:0.781855:0.722247:0.781855:0.722247:0.771813:0.717075:0.771813:0.000000
4:@0.736073:0.781855:0.741244:0.781855:0.741244:0.771813:0.736073:0.771813:0.000000
5:@0.755070:0.781855:0.760241:0.781855:0.760241:0.771813:0.755070:0.771813:0.000000
6:@0.774067:0.781855:0.779239:0.781855:0.779239:0.771813:0.774067:0.771813:0.000000
7:@0.793064:0.781855:0.798236:0.781855:0.798236:0.771813:0.793064:0.771813:0.000000
8:@0.812062:0.781855:0.817233:0.781855:0.817233:0.771813:0.812062:0.771813:0.000000
1:@0.651441:0.758972:0.656613:0.758972:0.656613:0.748930:0.651441:0.748930:0.000000
–1:@0.645050:0.787488:0.656613:0.787488:0.656613:0.777446:0.645050:0.777446:0.000000:0.000000
–2:@0.645050:0.801746:0.656613:0.801746:0.656613:0.791704:0.645050:0.791704:0.000000:0.000000
–3:@0.645050:0.816003:0.656613:0.816003:0.656613:0.805961:0.645050:0.805961:0.000000:0.000000
2:@0.651441:0.744723:0.656613:0.744723:0.656613:0.734681:0.651441:0.734681:0.000000
3:@0.651441:0.730465:0.656613:0.730465:0.656613:0.720423:0.651441:0.720423:0.000000
y:@0.650500:0.705157:0.655847:0.705157:0.655847:0.693701:0.650500:0.693701:0.000000
y log   x:@0.757140:0.800473:0.810633:0.800473:0.810633:0.787585:0.757140:0.787585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.763156:0.800383:0.778098:0.800383:0.778098:0.787471:0.763156:0.787471:0.000000:0.000000:0.000000
( ):@0.800124:0.800383:0.815292:0.800383:0.815292:0.787471:0.800124:0.787471:0.000000:0.000000:0.000000
1:@0.795770:0.799335:0.799338:0.799335:0.799338:0.792406:0.795770:0.792406:0.000000
2:@0.795770:0.806197:0.799338:0.806197:0.799338:0.799268:0.795770:0.799268:0.000000
0:@0.653189:0.204052:0.658360:0.204052:0.658360:0.194010:0.653189:0.194010:0.000000
x:@0.844057:0.208092:0.849257:0.208092:0.849257:0.196636:0.844057:0.196636:0.000000
1:@0.677979:0.207135:0.683150:0.207135:0.683150:0.197093:0.677979:0.197093:0.000000
2:@0.696976:0.207135:0.702147:0.207135:0.702147:0.197093:0.696976:0.197093:0.000000
3:@0.715973:0.207135:0.721145:0.207135:0.721145:0.197093:0.715973:0.197093:0.000000
4:@0.734970:0.207135:0.740142:0.207135:0.740142:0.197093:0.734970:0.197093:0.000000
5:@0.753968:0.207135:0.759139:0.207135:0.759139:0.197093:0.753968:0.197093:0.000000
6:@0.772965:0.207135:0.778136:0.207135:0.778136:0.197093:0.772965:0.197093:0.000000
7:@0.791962:0.207135:0.797133:0.207135:0.797133:0.197093:0.791962:0.197093:0.000000
8:@0.810959:0.207135:0.816131:0.207135:0.816131:0.197093:0.810959:0.197093:0.000000
1:@0.650339:0.184252:0.655510:0.184252:0.655510:0.174210:0.650339:0.174210:0.000000
–1:@0.643948:0.212768:0.655510:0.212768:0.655510:0.202726:0.643948:0.202726:0.000000:0.000000
–2:@0.643948:0.227026:0.655510:0.227026:0.655510:0.216984:0.643948:0.216984:0.000000:0.000000
–3:@0.643948:0.241284:0.655510:0.241284:0.655510:0.231242:0.643948:0.231242:0.000000:0.000000
2:@0.650339:0.170003:0.655510:0.170003:0.655510:0.159961:0.650339:0.159961:0.000000
3:@0.650339:0.155746:0.655510:0.155746:0.655510:0.145704:0.650339:0.145704:0.000000
y:@0.649397:0.130439:0.654745:0.130439:0.654745:0.118982:0.649397:0.118982:0.000000
y log x:@0.748480:0.175380:0.799365:0.175380:0.799365:0.162491:0.748480:0.162491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.754495:0.175289:0.769437:0.175289:0.769437:0.162378:0.754495:0.162378:0.000000:0.000000:0.000000
2:@0.784981:0.177854:0.788858:0.177854:0.788858:0.170327:0.784981:0.170327:0.000000
( ):@0.788856:0.175289:0.804024:0.175289:0.804024:0.162378:0.788856:0.162378:0.000000:0.000000:0.000000
Glosario:@0.684804:0.602565:0.752269:0.602565:0.752269:0.584883:0.684804:0.584883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
astronomía: :@0.685042:0.629380:0.768029:0.629380:0.768029:0.614119:0.685042:0.614119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencia que :@0.771250:0.629182:0.850440:0.629182:0.850440:0.614119:0.771250:0.614119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trata de los astros, de su movi-:@0.638498:0.645024:0.846641:0.645024:0.846641:0.629961:0.638498:0.629961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miento y de las leyes que lo rigen.:@0.638498:0.660866:0.846608:0.660866:0.846608:0.645803:0.638498:0.645803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.632070:0.606298:0.643474:0.604789:0.638272:0.582644:0.626867:0.584153:0.000000
c:@0.635451:0.617268:0.646050:0.615865:0.640968:0.594230:0.630369:0.595633:0.000000
b:@0.645827:0.610050:0.658540:0.608367:0.653408:0.586525:0.640695:0.588207:0.000000
Interdisciplinariedad:@0.684804:0.320313:0.831589:0.320313:0.831589:0.304841:0.684804:0.304841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.685042:0.349363:0.840710:0.349363:0.840710:0.333891:0.685042:0.333891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los logaritmos neperianos se :@0.638498:0.364783:0.829157:0.364783:0.829157:0.349720:0.638498:0.349720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominan de esta forma por :@0.638498:0.380625:0.836967:0.380625:0.836967:0.365562:0.638498:0.365562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el nombre de su inventor, John :@0.638498:0.396467:0.841151:0.396467:0.841151:0.381404:0.638498:0.381404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Napier, quien intentó establecer,  :@0.638498:0.412309:0.850171:0.412309:0.850171:0.397246:0.638498:0.397246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un procedimiento para agilitar :@0.638498:0.428151:0.839675:0.428151:0.839675:0.413087:0.638498:0.413087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los complicados cálculos que :@0.638498:0.443993:0.831438:0.443993:0.831438:0.428929:0.638498:0.428929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debían realizarse en :@0.638498:0.459835:0.768540:0.459835:0.768540:0.444771:0.638498:0.444771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
astronomía:@0.768540:0.460033:0.845531:0.460033:0.845531:0.444771:0.768540:0.444771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.845533:0.459835:0.849315:0.459835:0.849315:0.444771:0.845533:0.444771:0.000000
y trigonometría.:@0.638498:0.475677:0.742156:0.475677:0.742156:0.460613:0.638498:0.460613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.638498:0.500020:0.684778:0.500020:0.684778:0.484759:0.638498:0.484759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre John Napier, :@0.684954:0.499822:0.814275:0.499822:0.814275:0.484759:0.684954:0.484759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
luego :@0.638498:0.515664:0.679079:0.515664:0.679079:0.500601:0.638498:0.500601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona:@0.679254:0.515862:0.762367:0.515862:0.762367:0.500601:0.679254:0.500601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una ficha :@0.762543:0.515664:0.831178:0.515664:0.831178:0.500601:0.762543:0.500601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bibliográfica.:@0.638498:0.531506:0.723159:0.531506:0.723159:0.516443:0.638498:0.516443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000