Answer
$\frac{1}{81}=9^{-2}$
Work Step by Step
$\log_{9}\frac{1}{81}=-2$
$y=log_{a}x$ if and only if $x=a^{y}$
Hence, $\log_{9}\frac{1}{81}=-2$ implies $\frac{1}{81}=9^{-2}$
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: 8
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