$9.243 \sqrt{\log _{1 / 2}\left(x^{2}+4 x-4\right)}<1, x$ - integer.
## Solution.

The inequality is equivalent to the system:

$\left\{\begin{array}{l}\log _{1 / 2}\left(x^{2}+4 x-4\right) \geq 0, \\ \log _{1 / 2}\left(x^{2}+4 x-4\right)\frac{1}{2}, \\ x-\text { integer }\end{array}, \Leftrightarrow\right.\right.$

![](https://cdn.mathpix.com/cropped/2024_05_21_f024bf2ff7725246f3bfg-200.jpg?height=218&width=825&top_left_y=1177&top_left_x=128)

Since $\frac{-4-\sqrt{34}}{2}0$, then $x \in\{-5 ; 1\}$.

Answer: $-5 ; 1$.