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: 48

Answer

$=\log x^{4}y^{5}$

Work Step by Step

$\log x + 3 \log xy + 2 \log y$ $= \log x + \log (xy)^{3} + \log y^{2}$ $= \log x + \log x^{3}y^{3} + \log y^{2}$ $=\log xx^{3}y^{3}y^{2}$ $=\log x^{4}y^{5}$
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