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ln(y)=3*x+c la ecuación

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Solución

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

Por definición log
v=e^p

entonces
$$y = e^{\frac{c + 3 x}{1}}$$
simplificamos
$$y = e^{c + 3 x}$$
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))
$$i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)}$$
=
                      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))
$$i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)}$$
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))
$$i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)}$$
=
 3*re(x) + I*(3*im(x) + im(c)) + re(c)
e                                     
$$e^{i \left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)}\right) + \operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}}$$
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))
$$y_{1} = i e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \sin{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)} + e^{\operatorname{re}{\left(c\right)} + 3 \operatorname{re}{\left(x\right)}} \cos{\left(\operatorname{im}{\left(c\right)} + 3 \operatorname{im}{\left(x\right)} \right)}$$
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))