Let S be the set of all real roots of the equation, 3x(3x – 1) + 2 = |3x – 1| + |3x

Question

Let S be the set of all real roots of the equation,
3^x(3^x – 1) + 2 = |3^x – 1| + |3^x – 2|. Then S :

contains exactly two elements.

is an empty set.

is a singleton.

contains at least four elements.

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