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asin(y)=Const+ln(x) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
asin(y) = c + log(x)
asin⁡(y)=c+log⁡(x)\operatorname{asin}{\left(y \right)} = c + \log{\left(x \right)}
Simplificar
Solución detallada
Tenemos la ecuación
asin⁡(y)=c+log⁡(x)\operatorname{asin}{\left(y \right)} = c + \log{\left(x \right)}
Transpongamos la parte derecha de la ecuación miembro izquierdo de la ecuación con el signo negativo
−log⁡(x)=c−asin⁡(y)- \log{\left(x \right)} = c - \operatorname{asin}{\left(y \right)}
Devidimos ambás partes de la ecuación por el multiplicador de log =-1
log⁡(x)=−c+asin⁡(y)\log{\left(x \right)} = - c + \operatorname{asin}{\left(y \right)}
Es la ecuación de la forma:
log(v)=p

Por definición log
v=e^p

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