Answer
(a) ln$e^{sinx}=sinx$
(b) $e^{x+lnx}=xe^{x}$
Work Step by Step
The exponential function is defined by if $e^{x}=y$ then $x =lny$.
(a) ln$e^{sinx}=sinx$
(b) $e^{x+lnx}=e^{x}\times e^{lnx}$
$=e^{x}x$
Hence,
$e^{x+lnx}=xe^{x}$
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: 4
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