College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.3 - Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Page 427: 21


$\log_{1/10} 1000=-3$

Work Step by Step

Since $y=b^x$ is equivalent to $\log_b y=x,$ then the given equation, $ \left( \dfrac{1}{10} \right)^{-3}=1000 ,$ is equivalent to \begin{array}{l}\require{cancel} \log_{1/10} 1000=-3 .\end{array}
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