Answer
See graph
Work Step by Step
1. See graph for $Y_1=log(x^2)$ and $Y_2=2log(x)$.
2. We can see that they are not equivalent.
3. The domains are different with $\{x|x\ne0 \}$ for $Y_1$, while $\{x|x\gt0 \}$ for $Y_2$.
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 332: 111
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