Exponential Equation with a Unique Solution

Algebra Level 4

\(r\) is a positive rational number such that the equation \( r 3^x + 3^{-x} =3\) has a unique real solution. If \( r = \frac {a}{b}\) where \(a\) and \(b\) are coprime positive integers, what is the value of \(a+b\)?

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