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