tentukan himpunan penyelesaian 6log(x²-x-6)>1

[tex] {}^{6} log( { {x}^{2} - x - 6}^{} ) > {}^{6} log(6 ) \\ {x}^{2} - x - 6 > 6 \\ {x}^{2} - x - 12 > 0 \\ (x - 4)(x + 3) > 0 \\ x < - 3 \: atau \: x > 4[/tex]

Kelas 10 Matematika
Bab Logaritma

⁶log (x² - x - 6) > 1
x² - x - 6 > 6¹
x² - x - 6 - 6 > 0
x² - x - 12 > 0
(x - 4) (x + 3) > 0
x - 4 > 0
x > 4

x + 3 < 0
x < -3

Syarat 
x² - x - 6 > 0
(x - 3) (x + 2) > 0
x - 3 > 0
x > 3

x + 2 < 0
x < -2

HP = { x | x < - 3 atau x > 4, x ∈ bilangan real }