Answer
$x=-2$
Work Step by Step
RECALL:
(i) If $a^M=a^N$, then $M=N.$
(ii) $\dfrac{1}{a^m} = a^{-m}.$
Use rule (ii) above to obtain
$e^{x+1} = e^{-1}.$
Use rule (i) to obtain
$x+1 = -1.$
Solve the equation:
$x+1-1 = -1-1
\\x=-2.$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 488: 21
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