text: ## Precalculus (10th Edition)
  
  Published by Pearson
  
  # Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 20
  
  #### Answer
  
  $3^{-2}=\frac{1}{9}$
  
  #### Work Step by Step
  
  We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.
  
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