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If $\tan ^{-1}\left(\frac{2}{3^{-x}+1}\right)=\cot ^{-1}\left(\frac{3}{3^{x}+1}\right)$, then which one of the following is true ?

There is no real value of x satisfying the above equation.

There is one positive and one negative real value of $x$ satisfying the above equation.

There are two real positive values of x satisfying the above equation.

There are two real negative values of $x$ satisfying the above equation.

✅ Correct Option: 2

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