Answer
$x=7$
Work Step by Step
If $b$ is a real number, $b\gt0$, and $b\ne1$, then $b^{\log_{b^{x}}}=x$ (according to Property 3 on page 569).
Therefore, $5^{log_{5^{7}}}=x=b^{\log_{b^{x}}}$, so $x=7$.
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set - Page 572: 66
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