If \( 3^{\left(\frac{1}{2}+\log _{3}(\cos x+\sin x)\right)}-2^{\log _{2}(\cos x-\sin x)}=\sqrt{2....
If \( 3^{\left(\frac{1}{2}+\log _{3}(\cos x+\sin x)\right)}-2^{\log _{2}(\cos x-\sin x)}=\sqrt{2} \) then \( x= \)
\( \mathrm{P} \)
(Here, \( n \in Z \) )
(1) \( 2 n \pi+\frac{3 \pi}{4} \)
(2) \( n \pi+(-1)^{n} \frac{\pi}{12} \)
(3) \( 2 n \pi+\frac{\pi}{12} \)
(4) \( n \pi+(-1)^{n} \frac{\pi}{3} \)
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