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Consider the equation log(sqrt(2)sinx)...

Consider the equation
`log_(sqrt(2)sinx) (1 + cos x) = 2, x in [-(pi)/2, (3pi)/2]`.If the sum of the roots is `(p pi)/(q)`, where G.C.D (p,q) = 1 then the value of `p^(2) + q^(2)`is

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