Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 29

Answer

$x=-2$

Work Step by Step

Factor the left side of the equation to get $e^{-x}(x+2)=0$. If one of the factors equal zero, the entire expression equals zero. $e^{-x}$ can never equal zero, so there is no solution. Solving $x+2=0$ by subtracting two from each side leaves $x=-2$.
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