Answer
The graph is shown below.
Work Step by Step
$y={{\log }_{10}}x$
Therefore, the function $y={{\log }_{10}}x$ can be written as $x={{10}^{y}}$.
Substitute $y=0$ in $x={{10}^{y}}$:
$\begin{align}
& x={{10}^{0}} \\
& =1
\end{align}$
Substitute $y=1$ in $x={{10}^{y}}$:
$\begin{align}
& x={{10}^{1}} \\
& =10
\end{align}$
Substitute $y=2$ in $x={{10}^{y}}$:
$\begin{align}
& x={{10}^{2}} \\
& =100
\end{align}$
Substitute $y=-1$ in $x={{10}^{y}}$:
$\begin{align}
& x={{10}^{-1}} \\
& =\frac{1}{10}
\end{align}$
Substitute $y=-2$ in $x={{10}^{y}}$:
$\begin{align}
& x={{10}^{-2}} \\
& =\frac{1}{{{10}^{2}}} \\
& =\frac{1}{100}
\end{align}$
Tabulate the obtained values as shown below:
$\begin{matrix}
x & y \\
0 & 1 \\
1 & 10 \\
2 & 100 \\
-1 & \frac{1}{10} \\
-2 & \frac{1}{100} \\
\end{matrix}$
Now, draw the graph of $y={{\log }_{10}}x$ by using the table:
