# How do you find the inverse of y=log_6 x?

Jul 8, 2018

$y = {\log}_{6} x q \quad$
$\implies {6}^{y} = {6}^{{\log}_{6} x} = x$
$\therefore x = {6}^{y}$
$\implies {f}^{- 1} \left(x\right) = {6}^{x}$