Answer
$x \approx -1.97$ and $x \approx 1.06$
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:
$y=x$ and $y=\ln{(4-x^2)}$
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 points:
$(-1.965, -1.965)$
$(1.058, 1.058)$
Therefore, the solution to the given equation rounded-off to two decimal places are:
$x \approx -1.97$ and $x \approx 1.06$