Question

$$2x^{y}-x^{3}=0$$

Solve for y (complex solution)

$\left\{\begin{matrix}y=\frac{2\pi n_{1}i}{\ln(x)}-\log_{x}\left(2\right)+3\text{, }n_{1}\in \mathrm{Z}\text{, }&x\neq 0\text{ and }x\neq 1\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$

Solve for y

$\left\{\begin{matrix}y=-\log_{x}\left(2\right)+3\text{, }&x>0\text{ and }x\neq 1\\y>0\text{, }&x=0\end{matrix}\right.$