If $\log _{(3 x-1)}(x-2)=\log _{\left(9 x^2-6 x+1\right)}\left(2 x^2-10 x-2\right)$, then $x$ equals

  • [KVPY 2015]
  • A

    $9-\sqrt{15}$

  • B

    $3+\sqrt{15}$

  • C

    $2+\sqrt{5}$

  • D

    $6-\sqrt{5}$

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