Bentuk umum persamaan eksponen adalah
Jika af(x) = ag(x) maka f(x) = g(x)
Contoh 1
34x+2 = 9x - 3
Jawab
34x+2 = (32)x - 3
34x+2 = 32x - 6
4x + 2 = 2x - 6
2x = -8
x= -4
Contoh 2
5x2- 6x + 2 + 5x2-6x + 1=30
Jawab :
5x2- 6x.52 + 5x2-6x.51=30
5x2- 6x.(52 +51) = 30
5x2- 6x.(30) = 30
5x2- 6x = 1
5x2- 6x = 50
x2 - 6x = 0
x(x - 6) = 0
x = 0 atau x = 6
Contoh 3
25x - 6.5x + 1 + 125 = 0
Jawab :
(52)x - 6.5x .51+ 125 = 0
52x - 30.5x .+ 125 = 0
(5x)2 -30.5x .+ 125 = 0
misal 5x = y maka
y2 - 30y + 125 = 0
(y - 5)(y - 25) = 0
y = 5 atau y = 25
5x = 51 atau 5x = 52
x = 1 atau x = 2
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