JEE Main 2016 (6)

Geometry Level 4

\[(2^{x}+2^{-x}-2\cos(x))(3^{\pi+x}+3^{-x-\pi}+2\cos(x))(5^{\pi-x}+5^{-\pi+x}-2\cos(x))=0\] Find the number of real values of \(x\) such that the equation above is fulfilled.

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