Answer
$x \approx 2.21$.
Work Step by Step
To solve the given equation by graphing using a graphing device, let each side of the equation represent a function to obtain:
$y=\ln{x}$ and $y=3-x$
To find the solution/s, perform the following steps:
(1) Graph both functions on the same coordinate plane.
(refer to the image below for the graph)
(2) Identify the point/s that are common to both graphs.
The x-coordinate of these points are the solutions to the given equation since they satisfy both functions.
Note that the graphs share the common point $(2.208, 0.792)$
Therefore, the solution to the given equation rounded-off to two decimal places is $x \approx 2.21$.
