# How do you write log_3 27 = 3 as an exponential form?

You can raise to the power $3$ both sides:
${3}^{{\log}_{3} \left(27\right)} = {3}^{3}$
but ${3}^{{\log}_{3} \left(27\right)} = 27$ (where the ${3}^{}$ and ${\log}_{3}$ cancel each other);
$27 = {3}^{3}$ which is indeed true