Solve for x
\left\{\begin{matrix}x=\log_{z}\left(12-3^{y}\right)\text{, }&z\neq 1\text{ and }z>0\text{ and }y<\log_{3}\left(12\right)\\x\in \mathrm{R}\text{, }&\left(z=1\text{ and }y=\log_{3}\left(11\right)\right)\text{ or }\left(z=-1\text{ and }y=\log_{3}\left(13\right)\text{ and }Denominator(x)\text{bmod}2=1\text{ and }Numerator(x)\text{bmod}2=1\right)\\x>0\text{, }&y=\log_{3}\left(12\right)\text{ and }z=0\end{matrix}\right.
Solve for y
y=\log_{3}\left(12-z^{x}\right)
\left(12-z^{x}>0\text{ and }z>0\right)\text{ or }\left(x>0\text{ and }z=0\right)\text{ or }\left(12-z^{x}>0\text{ and }z<0\text{ and }Denominator(x)\text{bmod}2=1\right)
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