9.087. $\left|3-\log _{2} x\right|<2$.

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9.087. $\left|3-\log _{2} x\right|<2$.
## Solution.

Domain: $\quad x>0$.

The given inequality is equivalent to the inequality

$-2<3-\log _{2} x<2,-5<-\log _{2} x<-1 \Leftrightarrow 1<\log _{2} x<5,2<x<32$.

Answer: $\quad x \in(2 ; 32)$.