9.071. $\log _{0.3}\left(x^{2}-5 x+7\right)>0$.
## Solution.

The given inequality is equivalent to the system of two inequalities

$\left\{\begin{array}{l}x^{2}-5 x+7>0, \\ x^{2}-5 x+7<1\end{array} \Leftrightarrow\left\{\begin{array}{l}x \in R, \\ 2<x<3,\end{array} \quad 2<x<3\right.\right.$.

Answer: $\quad x \in(2 ; 3)$.