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: 42

Answer

$= \log_9 (5\sqrt[3] {x^{2}y^{2}})$

Work Step by Step

$= \log_9 5 + \frac{2}{3} \log_9 x + \frac{2}{3} \log_9 y$ $= \log_9 5 + \log_9 \sqrt[3] {x^{2}} + \log_9 \sqrt[3] {y^{2}}$ $= \log_9 (5\sqrt[3] {x^{2}y^{2}})$
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