The product of all positive real values of $x$ satisfying the equation $x^{\left(16\left(\log _5 x\right)^3-68 \log _5 x\right)}=5^{-16}$is. . . . .

  • [IIT 2022]
  • A

    $0$

  • B

    $1$

  • C

    $4$

  • D

    $5$

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