# How do you write the equation log_27 3=1/3 into exponential form?

${\log}_{27} 3 = \frac{1}{3} \implies {27}^{\frac{1}{3}} = 3$
${\log}_{a} b = c \implies {a}^{c} = b$
so, ${\log}_{27} 3 = \frac{1}{3} \implies {27}^{\frac{1}{3}} = 3$