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: 2


(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) $ln(\frac{1}{e^{2}})=ln(e^{-2})$ $=-2lne$ $=-2\times1$ $=-2$
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