Matematika

Pertanyaan

jika diketahui log 2 = 0, 3010 dan log 3 = 0, 4771 Tentukan logaritma berikut : a. log 30 b. log 90 c. log 45

1 Jawaban

  • log2 =0,3010
    log3 =0,4771
    log 30 =log(3×10)
    = log 3 + log 10
    = 0,4771 + 1
    = 1,4771
    log90 = log (9×10)
    = log 3^2 + log 10
    = 2log3 +log 10
    = 2×0,4771 + 1
    = 0,9542 +1
    = 1,9542
    log45 = log (3^2×10/2)
    = log 3^2+ log (10/2)
    = 2log 3+ log 10 -log2
    = 2×0,4771 + 1 -0,3010
    = 0,9542 + 0,6990
    = 1,6532

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