Matematika

Pertanyaan

12) jika 5 log 4 = a dan 4 log 3 = b, nilai dari 13 log 20 =

1 Jawaban

  • ⁵log 4 = a
    ⁴log 3 = b
    ¹²log 20 = ...?

    Jwb:
    ¹²log 20 = ⁴log 20 / ⁴log 12
    ¹²log 20 = ⁴log 4×5 / ⁴log 3×4
    ¹²log 20 = (⁴log 4 + ⁴log 5) − (⁴log 3 + ⁴log 4)
    ¹²log 20 = (1 + 1/a) − (b + 1)
    ¹²log 20 = 1 − ab / a

    Maaf jika salah ^^

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