College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.5 - Properties of Logarithms - 6.5 Assess Your Understanding - Page 459: 70

Answer

$\log _{5}\dfrac {\left( 3x+1\right) ^{3}}{x\left( 2x-1\right) ^{2}}$

Work Step by Step

We use the rules of logarithms to obtain: $3\log _{5}\left( 3x+1\right) -2\log _{5}\left( 2x-1\right) -\log _{5}x=\log _{5}\dfrac {\left( 3x+1\right) ^{3}}{x\left( 2x-1\right) ^{2}}$
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