#### Answer

$x\approx 2.21$

#### Work Step by Step

To solve the given equation graphically, you have to treat each side of the equation as a function.
Thus, using a graphing utility, graph the functions:
$y=\ln{x}$ (the blue graph)
$y=3-x$ (the red graph)
(refer to the image below for the graph.
The point/s where the graphs intersect are the points where $\ln{x}=3-x$.
The x-coordinates of these point are the solutions to the given equation.
Note that the graphs intersect at the point $(2.208, 0.792)$.
The x-coordinate of this point is $2.208$.
Rounded-off to two decimal places, the solution to the given equation is:
$x\approx 2.21$