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: 47

Answer

$ \log_5 7x^{3}y^{3}$

Work Step by Step

$\log_5 7 + 2 \log_5 xy + \log_5 xy$ $= \log_ 5 7 + \log_5 (xy)^{2} + \log_5 xy$ $= \log_ 5 7 + \log_5 x^{2}y^{2} + \log_5 xy$ $= \log_ 5 7 + \log_5 x^{2}y^{2}xy$ $= \log_ 5 7 + \log_5 x^{3}y^{3}$ $= \log_5 7x^{3}y^{3}$
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