Answer
See below
Work Step by Step
$$x=e^{2y}-3\\x+3=e^{2y}\\\ln(x+3)=\ln e^{2y}\\\ln(x+3)=2y\\y=\frac{\ln(x+3)}{2}$$
Hence, the correct answer is $C$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - Standardized Test Practice - Multiple Choice - Page 546: 9
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