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: 7

Answer

3

Work Step by Step

Using the rules of logarithms to solve the equation, we find: $$\ln \left(7x-4\right)=\ln \left(2x+11\right) \\ 7x-4=2x+11 \\ x=3$$ Checking for extraneous solutions, we see that the given solution is valid.
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