Matematika

Pertanyaan

persamaan logaritma
3 pangkat log ( x + 6) - 3 pangkat log ( x - 2) = 2
tolong bantuannya!!

1 Jawaban

  • Bab Logaritma
    Matematika SMA Kelas X

    ^ = pangkat

    ^3log (x + 6) - ^3log (x - 2) = 2
    ^3log ((x + 6)/(x - 2)) = 2
    (x + 6)/(x - 2) = 3²
    x + 6 = 9 (x - 2)
    x + 6 = 9x - 18
    x - 9x = -18 - 6
    -8x = -24
    x = (-24) : (-8)
    x = 3

    syarat
    x + 6 > 0
    x > -6

    x - 2 > 0
    x > 2

    maka, x = 3

Pertanyaan Lainnya