Answer
9
Work Step by Step
Using the rules of logarithms to solve the equation, we find:
$$\log _6\left(3x\left(x-1\right)\right)=3 \\ 3x\left(x-1\right)=216 \\ x=9,\:x=-8$$
Checking for extraneous solutions, we see that only $x=9$ 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 - 7.6 Exercises - Skill Practice - Page 520: 42
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
