Matematika

Pertanyaan

Nilai 5log 100 - 5log 4 + 5log 5

2 Jawaban

  • 5log 100 - 5log 4 + 5log 5
    =(5log 100 - 5log 4) + 5log 5
    = 5log (100/4) + 5log5
    = 5log 25 + 5log 5
    = 5log (25.5)
    = 5log 125
    = 5^y = 125
    = 5^y = 5³
    = y = 3
    semoga membantu :)

  • ⚔ Pelajaran : Matematika
    ⚔ Materi : Logaritma

    ⚔ Soal : 5log 100 - 5log 4 + 5log 5

    ⚔ Penyelesaian :

    → 5log (10²) - 5log 4 + 5log 5

    → (5x2) + log [4^(-5)] + log [10^5]

    → 10 + log [4^(-5) + 5^5]

    → 10 + log [(5^5) / (4^5)]

    → 10 + log [5/2²]^5

    → 10 + 5log [5/2²]

    → 10 + 5log [5/4]

    → 10,48455

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