Answer
(a) $e^{ln15}=15$
(b) $ln(\frac{1}{e^{2}})=-2$
Work Step by Step
The exponential function is defined by if $e^{x}=y$ then $x =lny$.
Therefore,
(a) $e^{ln15}=15$
(b) $ln(\frac{1}{e^{2}})=ln(e^{-2})$
$=-2lne$
$=-2\times1$
$=-2$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3* The Natural Exponential Function - 6.3* Exercises - Page 452: 2
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