Matematika

Pertanyaan

5 log 75+ 2 log 1 per 64+ 5 log 12 adalah..

1 Jawaban

  • Diketahui
    ᵃlog b + ᵃlog d = ᵃlog (b x d)
    ᵃlog b - ᵃlog d = ᵃlog (b/d)
    ᵃlog bⁿ = n x ᵃlog b

    Dimana :
    ⁵log 75 + ²log 1/64 + ⁵log 12
    = ⁵log 75 x12 + ²log 1/64
    = ⁵log 75 x12 + ²log (1/2^6)
    = ⁵log 900 + ²log 2^-6
    = ⁵log 900 + -6.²log 2
    = ⁵log 5.5.36 + -6.²log 2
    = ⁵log 5 + ⁵log 5 + ⁵log 36 + -6.²log 2
    =⁵log 5 + ⁵log 5 + ⁵log 6² + -6.²log 2
    = 1 + 1 + ⁵log 6² - 6
    = -4 + ⁵log 6² 

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