Question

27^2x -1 = (3 raiz de 3)^x

Answer 1

27^(2x - 1) = (3√3)^x

3^3.(2x - 1) = (3.3^1/2)^x

= 3^(1 + 1/2)

= 3^(3/2)^x

3.(2x-1) = (3/2) . x

6x - 3 = 3x/2

2.(6x - 3) = 3x

12x - 6 = 3x

12x - 3x = 6

9x = 6 (:3)

3x = 2

x = 2/3