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ln(y)=3*x+c la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
log(y) = 3*x + c
log⁡(y)=c+3x\log{\left(y \right)} = c + 3 x
Simplificar
Solución detallada
Tenemos la ecuación
log⁡(y)=c+3x\log{\left(y \right)} = c + 3 x
log⁡(y)=c+3x\log{\left(y \right)} = c + 3 x
Es la ecuación de la forma:
log(v)=p

Por definición log
v=e^p

entonces
y=ec+3x1y = e^{\frac{c + 3 x}{1}}
simplificamos
y=ec+3xy = e^{c + 3 x}
Gráfica
Suma y producto de raíces [src] 
suma
                      3*re(x) + re(c)      3*re(x) + re(c)                     
cos(3*im(x) + im(c))*e                + I*e               *sin(3*im(x) + im(c))
iere⁡(c)+3re⁡(x)sin⁡(im⁡(c)+3im⁡(x))+ere⁡(c)+3re⁡(x)cos⁡(im⁡(c)+3im⁡(x))i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} 
=
                      3*re(x) + re(c)      3*re(x) + re(c)                     
cos(3*im(x) + im(c))*e                + I*e               *sin(3*im(x) + im(c))
iere⁡(c)+3re⁡(x)sin⁡(im⁡(c)+3im⁡(x))+ere⁡(c)+3re⁡(x)cos⁡(im⁡(c)+3im⁡(x))i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} 
producto
                      3*re(x) + re(c)      3*re(x) + re(c)                     
cos(3*im(x) + im(c))*e                + I*e               *sin(3*im(x) + im(c))
iere⁡(c)+3re⁡(x)sin⁡(im⁡(c)+3im⁡(x))+ere⁡(c)+3re⁡(x)cos⁡(im⁡(c)+3im⁡(x))i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} 
=
 3*re(x) + I*(3*im(x) + im(c)) + re(c)
e
ei(im⁡(c)+3im⁡(x))+re⁡(c)+3re⁡(x)e^{i \left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)}\right) + \operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} 
exp(3*re(x) + i*(3*im(x) + im(c)) + re(c))
Respuesta rápida [src] 
                           3*re(x) + re(c)      3*re(x) + re(c)                     
y1 = cos(3*im(x) + im(c))*e                + I*e               *sin(3*im(x) + im(c))
y1=iere⁡(c)+3re⁡(x)sin⁡(im⁡(c)+3im⁡(x))+ere⁡(c)+3re⁡(x)cos⁡(im⁡(c)+3im⁡(x))y_{1} = i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} 
y1 = i*exp(re(c) + 3*re(x))*sin(im(c) + 3*im(x)) + exp(re(c) + 3*re(x))*cos(im(c) + 3*im(x))
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