# How do you use the properties of logarithms to rewrite the expression 1/8log_3 81?

$\frac{1}{8} {\log}_{3} 81 = \frac{1}{2}$
As $81 = {3}^{4}$, ${\log}_{3} \left(81\right) = 4$ and
$\frac{1}{8} {\log}_{3} \left(81\right) = \frac{1}{8} \cdot 4 = \frac{1}{2}$