Turning Products into Sums
Difficulty: Medium · Topics: Algebra, Functions, Functional Equations
Ko‘paytmalarni yig‘indilarga aylantirish
For all positive x,y: f(xy)=f(x)+f(y). Also f(2)=3 and f(3)=4.
Find f(72).
Barcha musbat x,y uchun f(xy)=f(x)+f(y). Shuningdek f(2)=3 va f(3)=4.
f(72) ni toping.