Matematika

Pertanyaan

Cara kerja 2/3 2log8 - 3/2 2log16 + 1/2 2log 32

2 Jawaban

  • jawab

    ²/₃. ²log 8  - ³/₂.²log 16  + ¹/₂. ²log 32 = 
    = ²/₃ . ²log 2³  - ³/₂. ²log 2⁴ + ¹/₂. ²log 2⁵
    = (²/₃).(3).(²log 2) - (³/₂). (4). (²log 2) + (¹/₂) (5). (²log 2)
    = 2 (1) - 6 (1) + ⁵/₂ (1)
    = 2 - 6 - ⁵/₂
    = - 6 ¹/₂
  • 2/3 . ₂log 8 - 3/2 . ₂log 16 + 1/2 . ₂log 32
    = 2/3 . ₂log 2³ - 3/2 . ₂log 2⁴ + 1/2 . ₂log 2⁵
    = 2/3 . 3 - 3/2 . 4 + 1/2 . 5
    = 2 - 6 + 5/2
    = -4 + 5/2
    = -8/2 + 5/2
    = -3/2

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