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 - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 332: 72



Work Step by Step

Change of Base Formula: $\hspace{20pt} \log_ a M = \dfrac{\log_b M}{\log_b a}$ $\log_5 18 = \dfrac{\log_{10} 18}{\log_{10} 5}$ Where: $a=5 \hspace{10pt} M = 18 \hspace{10pt} b = 10$ $ \dfrac{\log_{10} 18}{\log_{10} 5} \approx \boxed{1.796}$
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