Matematika

Pertanyaan

diketahui log 2 = 0,301 log 3 = 0,477 dan log 5 = 0,699. tentukan
a. log 0,6
b. log 20
c. log 90

1 Jawaban

  • a) log 0,6 = log 6/10
    = log (3/5)
    = log 3 - log 5
    = 0,477 - 0,699
    = -0,222
    b) log 20 = log (4.5)
    = log 4 + log 5
    = log 2^2 + log 5
    = 2.log 2 + log 5
    = 2. 0,301 + 0,699
    = 0,602 + 0,699
    = 1,301
    C) log 90
    = log (2.5.9)
    = log 2 + log 5 + log 9
    = log 2 + log 5 + log 3^2
    = log 2 + log 5 + 2 log 3
    = 0,301 + 0,699 + 2. 0,477
    = 1 + 0,954
    = 1,954.

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