Akar-akar persamaan 3 2x – 10 . 3 x + 1 + 81 = 0 adalah x 1 dan x 2 . Jika x 1 > x 2 , maka x 1 – x 2 =

3²ˣ – 10. 3ˣ⁺¹  + 81 = 0
3²ˣ – 10. 3ˣ. 3 + 81 = 0
3²ˣ – 30 . 3ˣ + 81 = 0
misal
3ˣ = a

a² – 30 a + 81 = 0
(a-3)(a-27) = 0
a = 3 –> 3ˣ = 3 –> x = 1
a = 27 –> 3ˣ = 27 =3³ –> x= 3
x₁ > x₂ –> x₁ = 3 dan x₂ = 1

x₁ – x₂ = 3 – 1= 2