Matematika

Pertanyaan

Jawabkan yaa beserta cara nya :)
Jawabkan yaa beserta cara nya :)

1 Jawaban

  • 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 ✩✩