Answer
$x=3$
Work Step by Step
The exponential function is a one-to-one function, therefore if $a^x=a^y$ and $a\ne 0$ $a\ne 1$, then $x=y$.
Thus we can rewrite the equation:
$4^x=64$
$4^x=4^3$
$x=3$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises - Page 86: 14
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