Graph Using a Table of Values g(x)=- log base 3 of x

$g (x) = - \log_{3} (x)$

Step 1

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

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

Step 2

Solve the equation for $y$ .

Remove parentheses.

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

Simplify $- \log_{3} (1)$ .

Logarithm base $3$ of $1$ is $0$ .

$y = - 0$

Multiply $- 1$ by $0$ .

$y = 0$

Step 3

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

$y = - \log_{3} (2)$

Step 4

Remove parentheses.

$y = - \log_{3} (2)$

Step 5

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

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

Step 6