Answer
$b^{5}=32$
Work Step by Step
From the definition of the logarithmic function on page 456, we know that $y=log_b{x}$ is equivalent to $b^{y}=x$ (for $x\gt0$, $b\gt0$, and $b\ne1$).
Therefore, $5=log_b{32}$ is equivalent to $b^{5}=32$ in exponential form.