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: 9



Work Step by Step

Using the rules of logarithms to solve the equation, we find: $$\log _{10}\left(5x\left(x-1\right)\right)=2 \\ 5x\left(x-1\right)=100 \\ x=5,\:x=-4$$ Checking for extraneous solutions, we see that only $x=5$ is valid.
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