Matematika

Pertanyaan

jika 8 log 5 = p ,tentukan nilai logaritma berikut!

A.) 4 log 1 per 5
B.) 2 log akar 5
C.) 64 log 125
D.) 512 log 3 akar 5

pakai cara yaa!

1 Jawaban

  • ^ tanda pangkat
    ^8log 5 = p
    ^(2³)log 5 = p
    (⅓) ^2log 5 = p
    ²log 5 = 3p
    a) ⁴log (1/5) = ^(2²)log 5^-1 = (-½) ²log 5
    = (-½)(3p)
    = (-3/2)p
    b) ²log √5 = ²log 5^½
    = (1/½) ²log 5
    = (2) (3p)
    = 6p
    c) ^64log 125 = ^(2^6)log 5³
    = (3/6) ²log 5
    = (3/6)(3p)
    = 9p/6
    = 3p/2
    d) ^512log ³√5 = ^(2^9)log 5^⅓
    = (9/⅓) ²log 5
    = (27)(3p)
    = 81p

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