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 - 7.6 Exercises - Skill Practice - Page 520: 28



Work Step by Step

To solve this problem, since there are only logarithms with the same base on either side of the equation, we cancel out the logarithms. Then, we solve for x. $$\:12x-11=3x+13 \\ x=\frac{8}{3} $$ Checking for extraneous solutions, by plugging the value of x back into the equation and checking if it yields a true statement, we see that the solution is correct.
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