Suppose a , b , c are positive integers such that 2^ a +4^ b +8^ c =328 . Then +2 b+3 x a b c is equal to

Step-by-step solution

2³ 41=2² [1+2^ 2 b-a +2^ 3 e-a ]a=32^ 3 c-a +2^ 2 b-a =2³ 53 c-a=32 b-3 c=2a=3, c=2, b=4 a+2 b+3 c a b c = 17 24