Question

If 32^a+b = 16^a+2b, then a =

Answer 1

3b

Explanation:

32^(a+b) = 16^(a+2b)

(2^5)^(a+b) = (2^4)^(a+2b)

2^(5(a+b)) = 2^(4(a+2b))

5(a+b) = 4(a+2b)

5a+5b = 4a+8b

5a-4a = 8b-5b

a = 3b

So the answer would be 3b