What is the inverse of y = 6log_2(x) ?

Dec 27, 2015

$\textcolor{w h i t e}{\times} x = {2}^{\frac{y}{6}}$
$\textcolor{w h i t e}{\times} y = 6 {\log}_{2} x$
$\implies \textcolor{red}{\frac{1}{6} \times} y = \textcolor{red}{\frac{1}{6} \times} 6 {\log}_{2} x$
$\implies {\log}_{2} x = \frac{y}{6}$
$\implies x = {2}^{\frac{y}{6}}$