Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 306: 76

Answer

$\approx2.584$

Work Step by Step

Using The Change-of-Base Formula $\log_a{b}=\dfrac{\log_c{b}}{\log_c{a}}$ and then evaluating using a calculator gives $\log_{\sqrt 5}8=\dfrac{\log8}{\log{\sqrt5}}\approx2.584$
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