Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 10


$\approx 2.771$

Work Step by Step

We wish to find the value of the given term $\log_{3} (21)$ by using a calculator. First, we apply the Change-of-Base Formula: $\log_a b =\dfrac{\log b}{\log a}$ The expression can be simplified as: $\log_{10} (21)=\dfrac{\log (21)}{\log (3)} = 2.771243749 \approx 2.771$
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