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: 67

Answer

$\log _{a}\dfrac {25x^{6}}{\sqrt {\left( 2x+3\right) }}$

Work Step by Step

$2\log _{a}\left( 5x^{3}\right) -\dfrac {1}{2}\log _{a}\left( 2x+3\right) =\log _{a}\dfrac {\left( 5x^{3}\right) ^{2}}{\left( 2x+3\right) ^{1/2}}=\log _{a}\dfrac {25x^{6}}{\sqrt {\left( 2x+3\right) }}$
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