tolong pakai cara!! 1/2log(x^2-3)>0

Kelas 10 Matematika
Bab Logaritma

^ = pangkat

^(1/2)log (x² - 3) > 0
^(1/2)log (x² - 3) > ^(1/2)log 1
x² - 3 < 1
x² - 3 - 1 < 0
x² - 4 < 0
(x + 2) (x - 2) < 0
x - 2 < 0
x < 2

x + 2 > 0
x > -2
-2 < x

-2 < x < 2

Syarat
x² - 3 > 0
(x + √3) (x - √3) > 0
x - √3 > 0
x > √3

x + √3 < 0
x < - √3

x < - √3 atau x > √3

Maka,
-2 < x < - √3 atau √3 < x < 2