College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises: 56

Answer

$\log_{5}\frac{x^{2}y^{4}}{z^{6}}$

Work Step by Step

$2( \log_{5}x+2\log_{5}y-3\log_{5}z)=2( \log_{5}x+\log_{5}y^2-\log_{5}z^3)=2\log_{5}\frac{xy^{2}}{z^{3}}=\log_{5}(\frac{xy^{2}}{z^{3}})^{2}=\log_{5}\frac{x^{2}y^{4}}{z^{6}}$
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