Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.4 Properties of Logarithms - 6.4 Exercises: 40

Answer

$= \log (4\sqrt {\frac{a}{b}})$

Work Step by Step

$= \log 4 + \frac{1}{2} \log a - \frac{1}{2} \log b$ $= \log 4 + \log \sqrt a - \log \sqrt b$ $= \log 4 + \log \frac{\sqrt a}{\sqrt b}$ $= \log( 4\sqrt {\frac{a}{b}})$
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