0 \\ lg(x) = t \\ {t}^{2} < 5t - 6 \\ {t}^{2} - 5t + 6 < 0 \\ t_{1} = 2 \\ t_{2} = 3 \\ 2 < t < 3 \: \rightarrow \: 2 < lg(x) < 3 \\ {10}^{2} < {10}^{ lg(x) } < {10}^{3} \\ 100 < x < 1000 \\ x \in (100; 1000)" alt=" lg {}^{2} (x) < lg( {x}^{5} ) - 6 , x > 0 \\ lg(x) = t \\ {t}^{2} < 5t - 6 \\ {t}^{2} - 5t + 6 < 0 \\ t_{1} = 2 \\ t_{2} = 3 \\ 2 < t < 3 \: \rightarrow \: 2 < lg(x) < 3 \\ {10}^{2} < {10}^{ lg(x) } < {10}^{3} \\ 100 < x < 1000 \\ x \in (100; 1000)" align="absmiddle" class="latex-formula">