$$g\log_{2}^{2}x=0$$
$\left\{\begin{matrix}g=0\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&x=1\text{ or }x=-1\end{matrix}\right.$
$\left\{\begin{matrix}g=0\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&|x|=1\end{matrix}\right.$
$\left\{\begin{matrix}\\x=1\text{; }x=-1\text{, }&\text{unconditionally}\\x\neq 0\text{, }&g=0\end{matrix}\right.$
