Matematika

Pertanyaan

jika log (logx) =log (log (2+y)) + log 2 dan log (x-8) =2 log y, maka nilai 2x +3y adalah

1 Jawaban

  • Log (log x) = log (2. Log (2+y))
    Log x = 2 log (2+y)
    = log (2+y)²
    x = (2+y)².....pers 1

    Log (x-8) = log y²
    x-8. = y² ....pers 2

    Pers 1 ke 2
    (2+y)²-8 = y²
    4+4y+y²-8 = y²
    4y = 4
    y = 1

    Pers 1
    x = (2+1)²
    = 9

    2x+3y = 2(9)+3(1)
    = 18+3
    = 21

Pertanyaan Lainnya