The equation has 3 solutions (determined by the degree of polynomial and non-extreme case).
If you use cubic equation to try and solve the equality you get
[tex]x_1\approx-0.88 \\ x_2\approx1.35 \\ x_3\approx2.53[/tex]
Clearly third one is in [tex](2,3)[/tex] so the statement that one solution is between 2 and 3 is true.
Hope this helps.
