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exp(1/x)=y la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
 1    
 -    
 x    
e  = y
e1x=ye^{\frac{1}{x}} = y
Simplificar
Gráfica
Respuesta rápida [src] 
           log(|y|)              I*arg(y)     
x1 = ------------------- - -------------------
        2         2           2         2     
     arg (y) + log (|y|)   arg (y) + log (|y|)
x1=log⁡(∣y∣)log⁡(∣y∣)2+arg⁡2(y)−iarg⁡(y)log⁡(∣y∣)2+arg⁡2(y)x_{1} = \frac{\log{\left(\left|{y}\right| \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} - \frac{i \arg{\left(y \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} 
x1 = log(|y|)/(log(|y|)^2 + arg(y)^2) - i*arg(y)/(log(|y|)^2 + arg(y)^2)
Suma y producto de raíces [src] 
suma
      log(|y|)              I*arg(y)     
------------------- - -------------------
   2         2           2         2     
arg (y) + log (|y|)   arg (y) + log (|y|)
log⁡(∣y∣)log⁡(∣y∣)2+arg⁡2(y)−iarg⁡(y)log⁡(∣y∣)2+arg⁡2(y)\frac{\log{\left(\left|{y}\right| \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} - \frac{i \arg{\left(y \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} 
=
      log(|y|)              I*arg(y)     
------------------- - -------------------
   2         2           2         2     
arg (y) + log (|y|)   arg (y) + log (|y|)
log⁡(∣y∣)log⁡(∣y∣)2+arg⁡2(y)−iarg⁡(y)log⁡(∣y∣)2+arg⁡2(y)\frac{\log{\left(\left|{y}\right| \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} - \frac{i \arg{\left(y \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} 
producto
      log(|y|)              I*arg(y)     
------------------- - -------------------
   2         2           2         2     
arg (y) + log (|y|)   arg (y) + log (|y|)
log⁡(∣y∣)log⁡(∣y∣)2+arg⁡2(y)−iarg⁡(y)log⁡(∣y∣)2+arg⁡2(y)\frac{\log{\left(\left|{y}\right| \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} - \frac{i \arg{\left(y \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} 
=
-I*arg(y) + log(|y|)
--------------------
   2         2      
arg (y) + log (|y|)
log⁡(∣y∣)−iarg⁡(y)log⁡(∣y∣)2+arg⁡2(y)\frac{\log{\left(\left|{y}\right| \right)} - i \arg{\left(y \right)}}{\log{\left(\left|{y}\right| \right)}^{2} + \arg^{2}{\left(y \right)}} 
(-i*arg(y) + log(|y|))/(arg(y)^2 + log(|y|)^2)
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