## Calculus with Applications (10th Edition)

Published by Pearson

# Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises: 13

#### Answer

$x=5$

#### 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: $2^x=32$ $2^x=2^5$ $x=5$

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