Algebra 2 (1st Edition)

Published by McDougal Littell

Chapter 7 Exponential and Logarithmic Functions - 7.4 Evaluate Logarithms and Graph Logarithmic Functions - 7.4 Exercises - Skill Practice - Page 504: 40

Answer

$$y=\left(\frac{1}{2}\right)^x$$

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: $$x=\log _{\frac{1}{2}}\left(y\right) \\ y=\left(\frac{1}{2}\right)^x$$

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