Answer
-2
Work Step by Step
We know that in the expression $log_b(a)=c$, b is the base of the exponential equation, a is what the exponential equation is equal to, and c is the exponent itself. Knowing this, we find:
$$a^x=a^{-2} \\ x=-2$$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.2 - Logarithmic Functions and Their Graphs - 5.2 Exercises - Page 378: 19
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