Answer
$g^{-1}(x) = 15^{x}$
Work Step by Step
$g(x) = \log_{15} x$
Let $g(x) = y$
$y = \log_{15} x$
Swap the variables $x$ and $y$ and then solve for $y$ to find the inverse:
$x = \log_{15} y$
$y = 15^{x}$
$g^{-1}(x) = 15^{x}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.