# Chapter 12 - Exponential Functions and Logarithmic Functions - 12.3 Logarithmic Functions - 12.3 Exercise Set: 81

$x=5$

#### Work Step by Step

Converting to exponential form, the given logarithmic equation, $\log_2{32}=x ,$ is equivalent to \begin{array}{l}\require{cancel} 2^x=32 \\\\ 2^x=2^5=32 .\end{array} We have now found what value x makes the above statement, $2^x=32$, true: \begin{array}{l}\require{cancel} x=5 .\end{array}

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