Answer
Graph of $f(x)=\log_3x$
Work Step by Step
Substituting values of $x$ in the given function, $
f(x)=\log_3x
$, results to
\begin{array}{c|c|c}
\text{If }x=1: & \text{If }x=3 & \text{If }x=9
\\\\
f(x)=y=\log_3x & f(x)=y=\log_3x & f(x)=y=\log_3x
\\
y=\log_3 1 & y=\log_3 3 & y=\log_3 9
\\
y=0 & y=1 & y=\log_3 3^2
\\
&& y=2\log_3 3
\\
&& y=2(1)
\\
&& y=2
.\end{array}
Connecting the points $
\left(1,0\right),
\left(3,1\right),
\text{ and }
\left(9,2\right)
$ with a curve gives the graph of $
f(x)=\log_3x
$.
