## College Algebra (11th Edition)

Published by Pearson

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

#### Answer

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

#### 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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