Answer
$log_a[\frac{25x^{6}}{\sqrt {2x+3}}]$
Work Step by Step
$2log_a(5x^3)-\frac{1}{2}log_a(2x+3)=log_a[\frac{5^2x^{6}}{(2x+3)^{1/2}}]=log_a[\frac{25x^{6}}{\sqrt {2x+3}}]$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 305: 67
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