# How do you find the inverse of y=log_(1/4) x?

$\textcolor{w h i t e}{\times} x = {2}^{- 2 y}$
$\textcolor{w h i t e}{\times} y = {\log}_{\frac{1}{4}} x$
$\implies x = {\left(\frac{1}{4}\right)}^{y}$
$\implies x = {2}^{- 2 y}$