Calculus 8th Edition

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


(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, $e^{x+lnx}=xe^{x}$
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