Answer
$$ y=log_{.4}(x)$$
Work Step by Step
Switching the elements of the domain and the range (in other words, the dependent and independent variables), we find that the inverse is:
$$x=0.4^y \\ y=log_{.4}(x)$$
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 - 7.4 Evaluate Logarithms and Graph Logarithmic Functions - 7.4 Exercises - Skill Practice - Page 504: 39
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