Answer
$$x =\frac{d\ln 5}{\ln c}$$
Work Step by Step
Given $$\log_{5}(c^x)=d $$
Then
\begin{align*}
\log_{5}(c^x)&=d \\
\frac{\ln c^x}{\ln 5}&=d\\
\ln c^x&=d\ln 5\\
x\ln c&=d\ln 5\\
x&=\frac{d\ln 5}{\ln c}
\end{align*}
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - Review - Exercises - Page 505: 18
Update this answer!
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.
