Solve the equation `log_(1//3)[2(1/2)^(x)-1]=log_(1//3)[(1/4)^(x)-4]`

Explanation

To solve the equation

\[ \log_{(1/3)}\left(2\left(\frac{1}{2}\right)^{x} - 1\right) = \log_{(1/3)}\left(\left(\frac{1}{4}\right)^{x} - 4\right), \]

we can follow these steps:

...