Answer
38
Work Step by Step
Using the rules of logarithms to solve the equation, we find:
$$\log _2\left(x-6\right)=\log _2\left(32\right) \\ x-6=32 \\ x=38$$
Checking for extraneous solutions, we see that the given solution is valid.
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 - 7.6 Solve Exponential and Logarithmic Equations - Guided Practice for Examples 4, 5, and 6 - Page 518: 8
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