Let $S$ be the set of all real roots of the equation, $3^{x}\left(3^{x}-1\right)+2=\left|3^{x}-1\right|+\left|3^{x}-2\right| .$ Then $\mathrm{S}$

  • [JEE MAIN 2020]
  • A

    is an empty set.

  • B

    contains at least four elements.

  • C

    contains exactly two elements

  • D

    is a singleton

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$III$. Both its roots are real.

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