assuming you means k = log_2(3) [as log(2)3 is the same thing as 3log(2) due to multiplication being commutative]
given log(ab) = log(a) + log(b)
log_2(48) = log_2(3) + log_2(16)
6(100+90+8) is the equation
6x100 =600
6x90 =540
6x8 = 48
1,188 is the answer
Your answer is .6 repeating or 2/3 per person.