Answer
$x=e^{e^3}\approx5\cdot10^8$
Work Step by Step
We have to solve $\ln(\ln x)=3$. We will use the exponential form of the equation $\log_{a}b=c$ which is $b=a^c$.
$$\ln x = e^3$$
Rewrite in exponential form:
$$x=e^{(e^3)}\approx5\cdot10^8$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - Study Summary - Practice Exercises - Page 844: 77
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