\(\dfrac{2 x-1}{2^x-1}<0\).

\(\dfrac{1-2 x}{\log _2(x+2)} \leqslant 0\).

\(\left(4 x^2-16 x+7\right) \log _2(x-3)>0\)

\(\log _x\left(2-x-x^2\right)>0\)

\(\log _{x+1}\left(x^2+x-6\right)^2 \geqslant 4\)

\(\dfrac{\log _3\left(1-\frac{3 x}{2}\right)}{\log _9 2 x} \geqslant 1\).

\(\log _{\frac{x-1}{2 x-8}} \dfrac{x+7}{6} \leqslant 1\).

\(\log _{\dfrac{1}{1-x^2}} 2 \leqslant \log _{2 x^2} \dfrac{1}{2}\).