Matematika

Pertanyaan

hasil dari 3 log 2 + 3 log 9 - 3 log 18 + 3 log 81

1 Jawaban

  • Bab : Logaritma

    Sifat logaritma:
    ᵃlog(b.c) = ᵃlogb + ᵃlogc
    ᵃlog(b/c) = ᵃlogb - ᵃlogc
    ᵃlogbˣ = x.ᵃlogb
    ᵃloga = 1

    Pembahasan:
    ³log2 + ³log 9 - ³log18 + ³log81
    = ³log(2.9) - ³log18 + ³log81
    = ³log18 - ³log18 + ³log81
    = ³log(18/18) + ³log81
    = ³log1 + ³log81
    = ³log(1.81)
    = ³log81
    = ³log3⁵
    = 5.³log3
    = 5(1)
    = 5

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