Matematika

Pertanyaan

Nilai dari 5log 75 + 2log 1/64 + 5log 4 - 5log 12

2 Jawaban

  • 5log 75= 5log(3×25) = 5log3 + 5log25 = 5log3 +2
    2log(1/64) = 2log(2∧(-6)) = -6
    5log12 = 5log(4×3) = 5log4 + 5log3
    Penyelesaian dari 5log 75 + 2log 1/64 + 5log 4 - 5log 12
    =5log3 + 2 - 6 + 5log 4 - 5log4 - 5log3
    = -4

  • = 5log (3.5²) + 2log (2⁻⁶) + 5log 2² - 5log (3.2²)
    = 5log 3 + 2(5log 5) + -6(2log 2) + 2(5log 2) - 5log 3 - 2(5log 2)
    = 5log3 - 5log3 + 2(1) - 6(1) + 2(5log 2) - 2(5log 2)
    = 2 - 6
    = - 4

    catatan :
    alog a = 1

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