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Let S be the set of all real roots of the equation,

Question:

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 $S$ :

  1. is an empty set.

  2. contains at least four elements.

  3. contains exactly two elements.

  4. is a singleton.


Correct Option: , 4

Solution:

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