log(sin(x),2)-3*log(2,sin(x))>2

$$- 3 log{left (2,sin{left (x right )} right )} + log{left (sin{left (x right )},2 right )} > 2$$

/ /pi pi /pi 5*pi
Or|And|– < x, x < --|, And|-- < x, x < ----|| 6 2 / 2 6 //

$$left(frac{pi}{6} < x wedge x < frac{pi}{2}right) vee left(frac{pi}{2} < x wedge x < frac{5 pi}{6}right)$$

pi pi pi 5*pi
(–, –) U (–, —-)
6 2 2 6

$$x in left(frac{pi}{6}, frac{pi}{2}right) cup left(frac{pi}{2}, frac{5 pi}{6}right)$$