Answer
$\log_5\frac{1}{125}=-3$
Work Step by Step
Use the Power Property. Also, remeber that $\log_aa=1$:
$\log_5\frac{1}{125}=\log_5\frac{1}{5^3}=\log_55^{-3}=-3\log_55=-3(1)=-3$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 385: 20
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