jika (4/9) pangkat x kuadrat dikurang 3 di kali (8/27) pangkat 1 kurang x = 3/2

Bab Eksponensial
Matematika SMP Kelas IX

((4/9)^(x² - 3)) . ((8/27)^(1 - x)) = 3/2
(2/3)^(2 (x² - 3)) . (2/3)^(3 (1 - x)) = (2/3)⁻¹
(2/3)^(2x² - 6 + 3 - 3x) = (2/3)⁻¹
2x² - 3x - 3 = -1
2x² - 3x - 3 + 1 = 0
2x² - 3x - 2 = 0
(2x + 1) (x - 2) = 0
2x + 1 = 0     atau       x - 2 = 0
2x = -1                        x = 2
x = -1/2

HP = { -1/2, 2 }