The graphs of $y = \operatorname{log}_{2}\left(x − 1\right)$ and $y = x^{3} − 4x$ intersect at two points: $\left(2, 0\right)$ and approximately $\left(1.1187, −3.075\right)$. Use that information to solve $\operatorname{log}_{2}\left(x − 1\right) = x^{3} − 4x$.