Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises - Page 432: 92

Answer

$\{-\frac{3}{5} \}$

Work Step by Step

$e^{x-1}=(\frac{1}{e^4})^{x+1}\longrightarrow e^{x-1}=(e^{-4})^{x+1}\longrightarrow e^{x-1}=e^{-4x-4} \longrightarrow x-1=-4x-4 \longrightarrow x=-\frac{3}{5}$ or in set form $\{-\frac{3}{5} \}$
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