tentukan himpunan penyelesaian dari persamaan ³log(x²-5x+9)=1

³log (x²-5x+9) = 1
³log (x²-5x+9) = ³log 3

Penyelesaian:
x²-5x+9 = 3
x²-5x+9-3 = 0
x²-5x+6 = 0
(x - 3)(x - 2) = 0
x = 3 atau x = 2

HP = {2, 3}

[tex] ^{3}{ log(x {}^{2} - 5x + 9) } = 1 \\ x {}^{2} - 5x + 9 = 3 {}^{1} \\ x {}^{2} - 5x + 9 - 3 = 0 \\ x {}^{2} - 5x + 6 = 0 \\ (x - 3)(x - 2) = 0[/tex]
Maka
☞ X = 3 , X = 2
HP : {2, 3}