2. Solve the equation

$\log _{\cos x} \sin 2 x+\log _{\sin 2 x} \cos 3 x+\log _{\cos 3 x} \cos x=\log _{\sin 2 x} \cos x+\log _{\cos 3 x} \sin 2 x+\log _{\cos x} \cos 3 x$.
Answer: $x=\frac{\pi}{10}+2 \pi n, n \in Z$.