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exp(-y)=Const-log(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
 -y             
e   = c - log(x)
e−y=c−log⁡(x)e^{- y} = c - \log{\left(x \right)}
Simplificar
Solución detallada
Tenemos la ecuación
e−y=c−log⁡(x)e^{- y} = c - \log{\left(x \right)}
Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo
log⁡(x)=c−e−y\log{\left(x \right)} = c - e^{- y}
Es la ecuación de la forma:
log(v)=p

Por definición log
v=e^p

entonces
x=ec−e−y1x = e^{\frac{c - e^{- y}}{1}}
simplificamos
x=ec−e−yx = e^{c - e^{- y}}
Gráfica
Respuesta rápida [src] 
                                                    -re(y)                            -re(y)                                        
        / -re(y)                   \  - cos(im(y))*e       + re(c)      - cos(im(y))*e       + re(c)    / -re(y)                   \
x1 = cos\e      *sin(im(y)) + im(c)/*e                             + I*e                            *sin\e      *sin(im(y)) + im(c)/
x1=iere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))sin⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))+ere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))cos⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))x_{1} = i e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} + e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} 
x1 = i*exp(re(c) - exp(-re(y))*cos(im(y)))*sin(im(c) + exp(-re(y))*sin(im(y))) + exp(re(c) - exp(-re(y))*cos(im(y)))*cos(im(c) + exp(-re(y))*sin(im(y)))
Suma y producto de raíces [src] 
suma
                                               -re(y)                            -re(y)                                        
   / -re(y)                   \  - cos(im(y))*e       + re(c)      - cos(im(y))*e       + re(c)    / -re(y)                   \
cos\e      *sin(im(y)) + im(c)/*e                             + I*e                            *sin\e      *sin(im(y)) + im(c)/
iere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))sin⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))+ere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))cos⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))i e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} + e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} 
=
                                               -re(y)                            -re(y)                                        
   / -re(y)                   \  - cos(im(y))*e       + re(c)      - cos(im(y))*e       + re(c)    / -re(y)                   \
cos\e      *sin(im(y)) + im(c)/*e                             + I*e                            *sin\e      *sin(im(y)) + im(c)/
iere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))sin⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))+ere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))cos⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))i e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} + e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} 
producto
                                               -re(y)                            -re(y)                                        
   / -re(y)                   \  - cos(im(y))*e       + re(c)      - cos(im(y))*e       + re(c)    / -re(y)                   \
cos\e      *sin(im(y)) + im(c)/*e                             + I*e                            *sin\e      *sin(im(y)) + im(c)/
iere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))sin⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))+ere⁡(c)−e−re⁡(y)cos⁡(im⁡(y))cos⁡(im⁡(c)+e−re⁡(y)sin⁡(im⁡(y)))i e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \sin{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} + e^{\operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} \cos{\left(\operatorname{im}{\left(c\right)} + e^{- \operatorname{re}{\left(y\right)}} \sin{\left(\operatorname{im}{\left(y\right)} \right)} \right)} 
=
   /  /     2*I*im(y)\  -re(y)  -I*im(y)        \                             
   |I*\1 - e         /*e      *e                |               -re(y)        
 I*|------------------------------------ + im(c)| - cos(im(y))*e       + re(c)
   \                 2                          /                             
e
ei(i(1−e2iim⁡(y))e−iim⁡(y)e−re⁡(y)2+im⁡(c))+re⁡(c)−e−re⁡(y)cos⁡(im⁡(y))e^{i \left(\frac{i \left(1 - e^{2 i \operatorname{im}{\left(y\right)}}\right) e^{- i \operatorname{im}{\left(y\right)}} e^{- \operatorname{re}{\left(y\right)}}}{2} + \operatorname{im}{\left(c\right)}\right) + \operatorname{re}{\left(c\right)} - e^{- \operatorname{re}{\left(y\right)}} \cos{\left(\operatorname{im}{\left(y\right)} \right)}} 
exp(i*(i*(1 - exp(2*i*im(y)))*exp(-re(y))*exp(-i*im(y))/2 + im(c)) - cos(im(y))*exp(-re(y)) + re(c))
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