Matematika

Pertanyaan

nilai 3 log 300 - 3 log 50 - 3 log 2 + 3 log 3

2 Jawaban

  • 3 log ( 300 : 50 ) - 3 log 2 + 3 log 3
    3 log ( 6 : 2 ) + 1
    3 log 3 + 1
    1 + 1 = 2
  • SIfat Logaritma:
    ᵃlog a = 1
    ᵃlog b + ᵃlog c = ᵃlog(b.c)
    ᵃlog b - ᵃlog c = ᵃlog(b/c)
    ᵃlog 1 = 0

    =Jawaban==
    ³log300 - ³log50 - ³log2 + ³log3
    = ³log(300/50) - ³log2 + 1
    = ³log6 - ³log2 + 1
    = ³log(6/2) + 1
    = ³log3 + 1
    = 1 + 1
    = 2

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