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: 75

Answer

$5.615$

Work Step by Step

Change of Base Formula: $\hspace{20pt} \log_ a M = \dfrac{\log_b M}{\log_b a}$ $\log_{\sqrt{2}} 7 = \dfrac{\log_{10} 7}{\log_{10} \sqrt{2}}$ Where: $a=\sqrt{2} \hspace{10pt} M = 7 \hspace{10pt} b = 10$ $\dfrac{\log_{10} 7}{\log_{10} \sqrt{2}} \approx \boxed{5.615}$
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