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 519: 2


When do logarithmic equations have extraneous solutions? A: Whenever the argument of the logarithm is less than zero.

Work Step by Step

The domain of a logarithmic function generally does not include all real numbers and in addition, $log(a)$ is only defined for when $a\gt0$. Thus in any case where the argument (a) is less than zero, the solution is extraneous.
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