Matematika

Pertanyaan

Nilai dari 9log27 + 3log9+2log8

2 Jawaban

  • ^9 log 27 + ³log 9 + ²log 8
    = ^(3²) log 3³ + ³log 3² + ²log 2³
    = (3/2) . ³log 3 + 2 . ³log 3 + 3 . ²log 2
    = (3/2) + 2 + 3
    = (3/2) + 5
    = 13/2
  • Jawabannya:

    Mapel. : Matematika
    Bab. : Logaritma

    Pembahasan:

    9 log 27 + 3 log 9 + 2 log 8
    = 3² log 3³ + 3 log 9 + 2 log 8
    = 3/2. 3 log 3 + 3 log 3² + 2 log 2³
    = 3/2. 1 + 3 log 3² + 2 log 2³
    = 3/2 + 2. 3 log 3 + 3. 2 log 2
    = 3/2 + 2. 1 + 3. 1
    = 3/2 + 2 + 3
    = 3/2 + 4/2 + 3
    = 7/2 + 6/2
    = 13/2
    = 6 1/2
    Atau
    = 6,5

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