Answer
The graph is shown below.
Work Step by Step
$y={{\log }_{7}}x$
Therefore, the function $y={{\log }_{7}}x$ can be written as $x={{7}^{y}}$
Substitute in a selected y value:
$\begin{align}
& x={{7}^{0}} \\
& =1
\end{align}$
Substitute in a selected y value:
$\begin{align}
& x={{7}^{1}} \\
& =7
\end{align}$
Substitute in a selected y value:
$\begin{align}
& x={{7}^{2}} \\
& =49
\end{align}$
Substitute in a selected y value:
$\begin{align}
& x={{7}^{-1}} \\
& =\frac{1}{7}
\end{align}$
Substitute in a selected y value:
$\begin{align}
& x={{7}^{-2}} \\
& =\frac{1}{{{7}^{2}}} \\
& =\frac{1}{49}
\end{align}$
Tabulate the obtained values as shown below:
$\begin{matrix}
x & y \\
1 & 0 \\
7 & 1 \\
49 & 2 \\
\frac{1}{7} & -1 \\
\frac{1}{49} & -2 \\
\end{matrix}$
