Algebra 2 (1st Edition)

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

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.
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