Answer
$ 3log(x)+\frac{1}{2}log(x+1)-2log(x-2)$.
Work Step by Step
$log\frac{x^2\sqrt {x+1}}{(x-2)^2}=log(x^3)+log(\sqrt {x+1})-log(x-2)^2=3log(x)+\frac{1}{2}log(x+1)-2log(x-2)$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 52
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