Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises: 8

Answer

(a) $\frac{1}{2}$ (b) 3

Work Step by Step

(a) Use logarithmic property, $y logx=logx^{y}$ $e^{-ln2}=e^{ln2^{-1}}=e^{ln(\frac{1}{2})}$ Thus, $e^{-ln2}=\frac{1}{2}$ (b) Use logarithmic property, $y logx=logx^{y}$ $e^{ln(ln(e^{3}))}=ln(e^{3})$ $=3lne$ Since, $lne=1$ Hence, $e^{ln(ln(e^{3}))}=$ 3
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