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: 49

Answer

$= \log \frac{\sqrt {15xy^{5}}}{z^{4}} $

Work Step by Step

$\frac{1}{2} \log 5 + \frac{1}{2} \log 3x + \frac{5}{2} \log y - 4 \log z$ $= \log \sqrt 5 + \log \sqrt {3x} +\log \sqrt {y^{5}} - \log z^{4}$ $= \log \sqrt {5(3x)(y^{5})}- \log z^{4}$ $= \log \sqrt {15xy^{5}} - \log z^{4}$ $= \log \frac{\sqrt {15xy^{5}}}{z^{4}} $
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