Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises: 14

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: $4^x=64$ $4^x=4^3$ $x=3$
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