Answer
$x=-6$
Work Step by Step
Use the rule power rule: $a^p=a^q$ .
We can see that the base $a=5$ is the same on both sides of the equation.
So, the exponents will also be equal.
This implies that $p=q$
Therefore, $5^x=5^{-6}\implies x=-6$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.3 Exponential Functions - 4.3 Assess Your Understanding - Page 307: 62
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