# Chapter 12 - Exponential Functions and Logarithmic Functions - 12.3 Logarithmic Functions - 12.3 Exercise Set: 86

$x=81$

#### Work Step by Step

Converting to exponential form, the solution to the given logarithmic equation, $\log_x{9}=\dfrac{1}{2} ,$ is: \begin{array}{l}\require{cancel} x^{1/2}=9 \\\\ \sqrt{x}=9 \\\\ \left( \sqrt{x} \right)^2=(9)^2 \\\\ x=81 .\end{array}

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