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: 25


$= \frac{2}{5} \ln m + \frac{3}{5} \ln p$

Work Step by Step

$= \ln (\sqrt[5] {m^{2}p^{3}})$ $= \ln (m^{2}p^{3})^{\frac{1}{5}}$ $= \frac{1}{5} \ln (m^{2}p^{3})$ $= \frac{1}{5} \ln m^{2} + \frac{1}{5} \ln p^{3}$ $= \frac{2}{5} \ln m + \frac{3}{5} \ln p$
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