Beginner Functional Equation

Algebra Level 2

A function \(f \colon \mathbb{R}^+ \to \mathbb{R}\) satisfies \[f(x+y)=f(x)f(y)\] for all positive real numbers \(x\) and \(y.\) If \(f(2)=3,\) then find \(f(6).\)

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