Answer
$\log_{5}\frac{x^{2}y^{4}}{z^{6}}$
Work Step by Step
$2( \log_{5}x+2\log_{5}y-3\log_{5}z)=2( \log_{5}x+\log_{5}y^2-\log_{5}z^3)=2\log_{5}\frac{xy^{2}}{z^{3}}=\log_{5}(\frac{xy^{2}}{z^{3}})^{2}=\log_{5}\frac{x^{2}y^{4}}{z^{6}}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 - Page 395: 56
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