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Matematika
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Pertanyaan
Jawabkan yaa beserta cara nya :)
1 Jawaban
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1. Jawaban Anonyme
Kelas 10 Matematika
Bab Logaritma
^ = pangkat
^(1/2)log (x² - 3) - ^(1/2)log x = -1
^(1/2)log ((x² - 3)/x) = -1
(x² - 3)/x = (1/2)^(-1)
x² - 3 = 2 . x
x² - 2x - 3 = 0
(x - 3) (x + 1) = 0
x - 3 = 0
x = 3
x + 1 = 0
x = -1
Syarat
x > 0
x² - 3 > 0
(x - √3) (x + √3) > 0
x - √3 >0
x > √3
x + √3 < 0
x < - √3
Maka,
x = 3
✩✩ C ✩✩