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 \(f (xy) = f (x) + f (y)\) holds. Find \(f (2007)\) if \(f (1/2007) = 1\).