Answer
$g(\frac{1}{81})=\log_3\frac{1}{81}=-4$
Work Step by Step
Use the property: $\log_aa^x=x$
$g(\frac{1}{81})=\log_3\frac{1}{81}=\log_381^{-1}=\log_3(3^4)^{-1}=\log_33^{-4}=-4$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - Review Exercises - Page 412: 40
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