College Algebra (11th Edition)

Published by Pearson

Chapter 4 - Section 4.4 - Evaluating Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 434: 17

Answer

$\approx-2.6576$

Work Step by Step

Using $\log_b a=\dfrac{\log a}{\log b}$ or the Change-of-Base Formula and the laws of logarithms, the given expression, $\log 0.0022 ,$ evaluates to \begin{array}{l}\require{cancel} \dfrac{\log 0.0022}{\log 10} \\\\\approx \dfrac{-2.6576}{1} \\\\ \approx-2.6576 .\end{array}

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