Answer
$x=3$
Work Step by Step
Note that $125=5^3$.
Write $125$ as $5^3$ to obtain:
$5^x=5^3$
RECALL:
If $a^x = a^y$, then $x=y$.
Use the rule above to obtain:
$5^x=5^3
\\x=3$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set - Page 726: 3
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