#### Answer

$b^{3}=27$

#### 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, $3=log_b{27}$ is equivalent to $b^{3}=27$ in exponential form.