#### Answer

$x=\left\{0, 1.14\right\}$

#### 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:
$y=x^3-x$ (the blue graph)
$y=\log(x+1)$ (the red graph)
(refer to the image below for the graph.
The point/s where the graphs intersect are the points where $x^3-x=\log(x+1)$.
The x-coordinates of these point are the solutions to the given equation.
Note that the graphs intersect at the points $(0, 0)$ and $(1.136, 0.33)$.
The x-coordinates of these points are $0$ and $1.136$.
Rounded-off to two decimal places, the solution to the given equation is:
$x=\left\{0, 1.14\right\}$