Problem #PRU-109438

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

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 \(f (1/2007) = 1\).