Answer
$x=\left\{-1.97, 1.06\right\}$
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:
$y=\ln{x}$ (blue graph)
$y=\ln{(4-x^2)}$ (the red graph)
(refer to the image below for the graph.
The point/s where the graphs intersect are the points where $x=\ln{(4-x^2)}$.
The x-coordinates of these point are the solutions to the given equation.
Note that the graphs intersect at the points $(-1.965,-1.965)$ and $(1.058, 1.058)$.
The x-coordinates of these points are $-1.965$ and $1.058$.
Rounded-off to two decimal places, the solutions to the given equation are:
$x=\left\{-1.97, 1.06\right\}$.
