Matematika

Pertanyaan

4 log 9 × 3 log 125 × 5 log 16 = ....

Sederhanakanlah ...

2 Jawaban

  • ⁴log9׳log125×5log16 =
    =²log3׳log125×5log16
    =²log125×5log16
    =(³√2 log ³√125) × 5log16
    =³√2log 5×5log16
    =³√2 log 16
    = 2^1/3 log 2⁴
    = 4/(1/3) ²log2
    = 12
  • 4'log 9 × 3'log 125 × 5'log 16
    = (2/2) . 2'log 3 × 3 . 3'log 5 × 4 . 5'log 2
    = 12 . 2'log 2
    = 12

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