## Algebra and Trigonometry 10th Edition

$g(\frac{1}{81})=\log_3\frac{1}{81}=-4$
Use the property: $\log_aa^x=x$ $g(\frac{1}{81})=\log_3\frac{1}{81}=\log_381^{-1}=\log_3(3^4)^{-1}=\log_33^{-4}=-4$