Problem #PRU-109438

Problems Calculus Functions of one variable. Continuity Certain properties of a function and recurrence relations. Algebra and arithmetic Exponential functions and logarithms Exponential functions and logarithms (other)

Problem

The function $f$ is such that for any positive $x$ and $y$ the equality $f (x y) = f (x) + f (y)$ holds. Find $f (2007)$ if $f (1 / 2007) = 1$ .

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