Since we know that f(4) = 1, we can plug that information into the second equation and get:
f(2*4) = 3f(4)
f(8) = 3*1
f(8) = 3
f(2*8) = 3f(8)
f(16) = 3*3
f(16) = 9
f(2*16) = 3f(16)
f(32) = 3*9
f(32) = 27
f(2*32) = 3f(32)
f(64) = 3*27
f(64) = 81
Hope this helped. Let me know if I did anything wrong!