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 $S$ :
is an empty set.
contains at least four elements.
contains exactly two elements.
is a singleton.
Correct Option: , 4
Solution: