Log2 (0.1) * log2 x больше 0

[latex] \log_20,1\ \textless \ 0 \Rightarrow \log_2 0,1 \cdot \log_2 x \ \textgreater \ 0 \Leftrightarrow \log_2x\ \textless \ 0\\\\ \log_2 x\ \textless \ 0\qquad(D:x\ \textgreater \ 0)\\ \log_2x\ \textless \ \log_21\\ x\ \textless \ 1\\\\ x\ \textless \ 1 \wedge x\ \textgreater \ 0\\ \boxed{x\in(0,1)} [/latex]