Answer
$ln5+lnx+\frac{1}{2}ln(1+3x)-3ln(x-4)$
Work Step by Step
$ln\frac{5x\sqrt {1+3x}}{(x-4)^3}=ln\frac{5x(1+3x)^{1/2}}{(x-4)^3}=ln5+lnx+\frac{1}{2}ln(1+3x)-3ln(x-4)$
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: 55
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