## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Skill Practice - Page 520: 30

#### Answer

Extraneous solution.

#### 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. $$3x-10=14-5x \\ x=3$$ 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 EXTRANEOUS.

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