Answer
$log_{\frac{1}{10}}(1000)=-3$
Work Step by Step
Use the definition $b^y=x$ is equivalent to $y=log_b(x)$, we have $(\frac{1}{10})^{-3}=1000$ is equivalent to $-3=log_{\frac{1}{10}}(1000)$ or $log_{\frac{1}{10}}(1000)=-3$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 449: 21
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