Question

If f (a.b) = f(a) + f(b) and f (2) = 3, then f (32) equals how can we get 15 after this

f(16) = f(8) + f(2) + f(2) ? what's the next step ?

Answer 1

Hello,

f(4)=f(2*2)=f(2)+f(2)=3+3=6
f(8)=f(2*4)=f(2)+f(4)=3+6=9
f(16)=f(2*8)=f(2)+f(8)=3+9=12
f(32)=f(2*16)=f(2)+f(16)=3+12=15