Matematika

Pertanyaan

Jika ^8log 25 = p, nyatakan logaritma berikut dalam p!
^5log 2?
Jika ^8log 25 = p, nyatakan logaritma berikut dalam p! ^5log 2?

1 Jawaban

  • 8'log 25 = p
    2³'log 5² = p
    (2/3) . 2'log 5 = p
    2'log 5 = 3/2 p


    5'log 2 = 2/(3p)

    2'log 125 = 2'log 5³ = 3 . 3/2 p = 9/2 p
    0,5'log 20
    = 0,5'log 2² + 0,5'log 5
    = (2/-1) . 2'log 2 + (-1) . 2'log 5
    = -2 - 3/2 p

    √5 'log 80
    = √5 'log 5 + √5 'log 2⁴
    = 2 . 5'log 5 + 2 × 4 . 5'log 2
    = 2 + 8 . 2/(3p)
    = 2 + 16/(3p)