Domain of the function $\sqrt{\log_e\left\{\begin{matrix}\frac{(5x-x^2)}{6}\end{matrix}\right\}}$

(2, 3) [2, 3] [1, 2] [1, 3]

[2, 3]

$\log_e\left\{\begin{matrix}\frac{(5x-x^2)}{6}\end{matrix}\right\}≥0⇒\frac{5x-x^2}{6}≥1$ or $x^2-5x+6≤0$ or $(x − 2)(x −3) ≤0$ Hence $2 ≤ x ≤ 3$