## Intermediate Algebra (6th Edition)

$(.027,3)$
We are given that $f(x)=log_{.3}x$ and that $g(x)=.3^{x}$ is the inverse of $f(x)$. We are also told that the ordered pair (3,.027) is a solution of the function $g(x)$. As seen in Section 9.2, when the ordered pair $(x_{1},y_{1})$ is a solution to a function, that function's inverse will have a solution of $(y_{1},x_{1})$. Therefore, the ordered pair $(.027,3)$ will be a solution of $f(x)$.