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 - Page 516: 39

Answer

$= \log_5 (7(\sqrt {xy}))$

Work Step by Step

$= \log_5 7 + \frac{1}{2} \log_5 x + \frac{1}{2} \log_5 y$ $= \log_5 7 + \log_5 \sqrt x + \log_5 \sqrt y$ $= \log_5 7 + \log_5 \sqrt {xy} $ $= \log_5 (7(\sqrt {xy}))$
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