Question

Graph:

$y={\log }_3\left(x\right)$

Short answer

The graph is

Step-by-step solution

Step 1. Given information.

The given expression is,

$y={\log }_3\left(x\right)$.

Step 2. Converting to exponential form.

$$\begin{gathered} y={\log }_3\left(x\right) \\ {3}^y=x \end{gathered}$$

Step 3. Finding the ordered pairs.

Using the point plotting method we get,

$y$	$x=3^y$	$\left(x,y\right)$
$-1$	$$\begin{gathered} x=3^{-1} \\ =\frac{1}{3} \end{gathered}$$	$\left(\frac{1}{3},-1\right)$
$0$	$$\begin{gathered} x=3^0 \\ =1 \end{gathered}$$	$\left(1,0\right)$
$1$	$$\begin{gathered} x=3^1 \\ =3 \end{gathered}$$	$\left(3,1\right)$

Step 4. Plotting the points on a graph.

The graph is