Solve for g_5 (complex solution)
\left\{\begin{matrix}g_{5}=-\frac{-\log_{5}\left(x+100\right)+1}{25s}\text{, }&s\neq 0\text{ and }x\neq -100\\g_{5}\in \mathrm{C}\text{, }&s=0\text{ and }x=-95\end{matrix}\right.
Solve for s (complex solution)
\left\{\begin{matrix}s=-\frac{-\log_{5}\left(x+100\right)+1}{25g_{5}}\text{, }&g_{5}\neq 0\text{ and }x\neq -100\\s\in \mathrm{C}\text{, }&g_{5}=0\text{ and }x=-95\end{matrix}\right.
Solve for g_5
\left\{\begin{matrix}g_{5}=-\frac{-\log_{5}\left(x+100\right)+1}{25s}\text{, }&s\neq 0\text{ and }x>-100\\g_{5}\in \mathrm{R}\text{, }&s=0\text{ and }x=-95\end{matrix}\right.
Solve for s
\left\{\begin{matrix}s=-\frac{-\log_{5}\left(x+100\right)+1}{25g_{5}}\text{, }&g_{5}\neq 0\text{ and }x>-100\\s\in \mathrm{R}\text{, }&g_{5}=0\text{ and }x=-95\end{matrix}\right.
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