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: 8


(a) $x=e^{e}$ (b) $x=$ln$($ln$10)$

Work Step by Step

(a) Given: $ln(lnx)=1$ $e^{ln(lnx)}=e^{1}$ ln$x=e^{e^{1}}$ Hence, $x=e^{e}$ (b) Given: $e^{e^{x}}=10$ ln$e^{e^{x}}=$ln$10$ $e^{x}=$ln$10$ ln$e^{x}=$ln(ln$10)$ Hence, $x=$ln$($ln$10)$
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