# How do you write log_9(27)=3/2 in exponential form?

${9}^{\frac{3}{2}} = 27$
${\log}_{9} 27 = \frac{3}{2}$
If we raise both sides of the equation to $9$, we can rewrite it in exponential form. (Proof of why this can be done.)
${9}^{\frac{3}{2}} = 27$