Answer
$$\log \sqrt{x}(x-2)^6$$
Work Step by Step
We simplify as follows:
$$\frac{1}{2}\log x+6\log (x-2)=\log x^{\frac{1}{2}}+\log (x-2)^6 \\ =\log \sqrt{x}(x-2)^6$$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 4 - Section 4.7 - Inverse Trigonometric Functions - Exercise Set - Page 628: 125
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