The product of all positive real values of x satisfying the equation x^ (16( _5 x)^3 - 68 _5 x ) = 5^ -16 is _____.

JEE Advanced 2022 Mathematics question

The product of all positive real values of satisfying the equation

is .

Answer: 1

Take of both sides with : $-68t) = -16 ⇒ -+16 = 0 ⇒ -+4 = 0

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Question ID VK-034011