$9.254 \log _{3} \log _{0,2} \log _{32} \frac{x-1}{x+5}>0$.

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$9.254 \log _{3} \log _{0.2} \log _{32} \frac{x-1}{x+5}>0$.
Solution. The original inequality is equivalent to the following:

$\log _{0.2} \log _{32} \frac{x-1}{x+5}>1 \Leftrightarrow\left\{\begin{array}{l}\log _{32} \frac{x-1}{x+5}>0, \\ \log _{32} \frac{x-1}{x+5}<1, \\ \frac{x-1}{x+5}>0\end{array} \Leftrightarrow x<-11\right.\right.\right.$.

Answer: $\quad x \in(-\infty ;-11)$.