Problem #PRU-109509

Problems Calculus Functions of one variable. Continuity Certain properties of a function and recurrence relations. Real numbers Rational and irrational numbers

15–16 4.0

Problem

Find all functions $f (x)$ defined for all positive $x$ , taking positive values and satisfying the equality $f (x^{y}) = f (x)^{f} (y)$ for any positive $x$ and $y$ .

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