Question

$$\log_{4}(1-2x)=Lo94$$

Solve for L (complex solution)

$\left\{\begin{matrix}L=\frac{\log_{2}\left(1-2x\right)}{2o_{94}}\text{, }&o_{94}\neq 0\text{ and }x\neq \frac{1}{2}\\L\in \mathrm{C}\text{, }&o_{94}=0\text{ and }x=0\end{matrix}\right.$

Solve for o_94 (complex solution)

$\left\{\begin{matrix}o_{94}=\frac{\log_{2}\left(1-2x\right)}{2L}\text{, }&L\neq 0\text{ and }x\neq \frac{1}{2}\\o_{94}\in \mathrm{C}\text{, }&L=0\text{ and }x=0\end{matrix}\right.$

Solve for L

$\left\{\begin{matrix}L=\frac{\log_{2}\left(1-2x\right)}{2o_{94}}\text{, }&o_{94}\neq 0\text{ and }x<\frac{1}{2}\\L\in \mathrm{R}\text{, }&o_{94}=0\text{ and }x=0\end{matrix}\right.$

Solve for o_94

$\left\{\begin{matrix}o_{94}=\frac{\log_{2}\left(1-2x\right)}{2L}\text{, }&L\neq 0\text{ and }x<\frac{1}{2}\\o_{94}\in \mathrm{R}\text{, }&L=0\text{ and }x=0\end{matrix}\right.$