Matematika

Pertanyaan

Diketahui log 2 = 0,3010 ; log 3 = 0,4771 ; dan log 7 = 0,8451 tentukan: beri contoh!

2 Jawaban

  • contoh :
    tentukan :
    a) log 6
    b) log 14
    c) log 1,5
    jawab :
    a) log 6 = log 2 + log 3 = 0,3010 + 0,4771 = 0,7781
    b) log 14 = log 2 + log 7 = 0,3010 + 0,8451 = 1,1461
    c) log 1,5 = log (3/2) = log 3 - log 2 = 0,4771 - 0,3010 = 0,1761
  • Contoh :
    a). log 18
    b). log 21
    c). log 10,5
    d). log 1/7

    Jawab

    a) log 18 = log(3² x 2) 
    = log 3² + log 2 
    = 2 * log 3 + log 2 = 2(0,4771) + (0,3010) 
    = 1.2552 

    b. log 21 = log(7 x 3) 
    = log 7 + log 3 = 0,8451 + 0,4771 
    = 1.3222 

    c. log 10,5 = log(105/10) 
    = log(3 x 5 x 7) / 10) 
    = log 3 + log 5 + log 7 - log 10 
    = 0,3010 + 0,4771 + 0,8451 - 1 
    = 0.6232 

    d. log (1/7) = log 7⁻¹ = -log 7 
    = -0,8451

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