Solve for x (complex solution)
x=\frac{2\pi n_{1}i}{\ln(y)}+\log_{y}\left(2\right)
n_{1}\in \mathrm{Z}
y\neq 1\text{ and }y\neq 0
Solve for y (complex solution)
y=e^{-\frac{2\pi n_{1}\left(Im(x)+iRe(x)\right)}{\left(Re(x)\right)^{2}+\left(Im(x)\right)^{2}}}\times 2^{\frac{Re(x)-iIm(x)}{\left(Re(x)\right)^{2}+\left(Im(x)\right)^{2}}}
n_{1}\in \mathrm{Z}
Solve for x
x=\log_{y}\left(2\right)
y\neq 1\text{ and }y>0
Solve for y
\left\{\begin{matrix}y=-2^{\frac{1}{x}}\text{, }&x\neq 0\text{ and }Numerator(x)\text{bmod}2=0\text{ and }Denominator(x)\text{bmod}2=1\\y=2^{\frac{1}{x}}\text{, }&x\neq 0\end{matrix}\right.
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