Matematika

Pertanyaan

Ini cara nya gimana tolong di jawab soal nya penting.
Ini cara nya gimana tolong di jawab soal nya penting.

1 Jawaban

  • ³log (9^x + 18) = 2 + x
    9^x + 18 = 3^(2 + x)
    (3²)^x + 18 = 3² . 3^x
    (3^x)² + 18 = 9.3^x
    misalkan 3^x = p
    p² + 18 = 9p
    p² - 9p + 18 = 0
    (p - 6)(p - 3) = 0
    p - 6 = 0
    p = 6
    3^x = 6
    x = ³log 6 = ³log (3.2)
    = ³log 3 + ³log 2
    = 1 + ³log 2
    p - 3 = 0
    p = 3
    3^x = 3¹
    x = 1
    jadi x1 = 1 + ³log 2
    x2 = 1
    maka
    x1 + x2 = 1 + ³log 2 + 1 = 2 + ³log 2