Matematika

Pertanyaan

Jika log 3 = a dan log 5= b.
Tentukan nilai
A. Log 75
B. Log 1500

2 Jawaban


  • [tex]a. log(75) \\ = log(3 \times {5}^{2} ) \\ = log(3 ) + 2 \: \log(5) \\ = a + 2b[/tex]
    [tex]b. \: log(1500) \\ = log(3 \times 5 \times 100) \\ = log(3) + log(5 ) + log( {10}^{2} ) \\ = a + b + 2[/tex]

  • A. Log 75 = log 5^2 . 3
    = 2 log 5 + log 3
    = 2 + b + a

    B. Log 1500 = 3 . 5 . 10^2
    = log 3 + log 5 + 2 log 10
    = a+ b+2

    Semoga Bermanfaat SlmRe

Pertanyaan Lainnya