Find all a, b such that a^2 9^b = 4 and a/3^b =18?

1 Answer

(a,b) in {(6, -1)} subset ZZ^2

Explanation:

a = 18*3^b and (18*3^b)^2 * 3^(2b) = 4

324 * 3^(4b) = 4 => 81^b = 1/81 => b = -1

a = 18/3 = 6