2. Solve the equation

$$
\log _{\sin x} \cos x+\log _{\cos x} \sin 2 x+\log _{\sin 2 x} \sin x=\log _{\cos x} \sin x+\log _{\sin 2 x} \cos x+\log _{\sin x} \sin 2 x
$$
Answer: $x=\frac{\pi}{3}+2 \pi n, n \in Z, x=\frac{\pi}{6}+2 \pi m, m \in Z$.