If x^ ( y z ) y^ (xz)^2 z^ ( x y ) =y^ 4 y for any x>1, y>1 and z>1, then which one of the following is correct?

NDA 2016 Mathematics question

If for any , and , then which one of the following is correct?

Answer: (B)

Write , , and take logarithms of both sides (reading as ): $a(b-c)+2b(a+c)+c(a-b) =

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Question ID VK-028480