Answer
The graph is shown below.
Work Step by Step
$y={{\log }_{3}}x$
The function $y={{\log }_{3}}x$ can be written as $x={{3}^{y}}$.
Substitute $y=0$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{0}} \\
& =1
\end{align}$
Substitute $y=1$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{1}} \\
& =3
\end{align}$
Substitute $y=2$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{2}} \\
& =9
\end{align}$
Substitute $y=-1$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{-1}} \\
& =\frac{1}{3}
\end{align}$
Substitute $y=-2$ in $x={{3}^{y}}$:
$\begin{align}
& x={{3}^{-2}} \\
& =\frac{1}{{{3}^{2}}} \\
& =\frac{1}{9}
\end{align}$
Tabulate the obtained values as shown below.
$\begin{matrix}
x & y \\
1 & 0 \\
3 & 1 \\
9 & 2 \\
\frac{1}{3}& -1 \\
\frac{1}{9} & -2 \\
\end{matrix}$
