To solve this equation you need to do the opposite to factor everything out. Since the 6 is being multiplied you need to divide it by 6 and whatever you do to one side you do to the other:
48=1/2b(6)
6÷6=1
48÷6=8
8=1/2b
Multiplying by 1/2 is the same as dividing by 2. So what we want to do is multiply by 2:
8=1/2b
1/2×2=1
8×2=16
16=b meaning you base is 16
To check your answer you can put 16 in as b
48=1/2(16)6
48=1/2(96)
Remember multiplying by 1/2 is the same as dividing by 2:
