Graph Using a Table of Values f(x) = log base 1/3 of x

$f (x) = \log_{\frac{1}{3}} (x)$

Substitute $1$ for $x$ and find the result for $y$ .

$y = \log_{\frac{1}{3}} (1)$

Solve the equation for $y$ .

Remove parentheses.

$y = \log_{\frac{1}{3}} (1)$

Logarithm base $\frac{1}{3}$ of $1$ is $0$ .

$y = 0$

Substitute $2$ for $x$ and find the result for $y$ .

$y = \log_{\frac{1}{3}} (2)$

Remove parentheses.

$y = \log_{\frac{1}{3}} (2)$

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ 1 & 0 \\ 2 & \log_{\frac{1}{3}} (2) \end{array}$