Matematika

Pertanyaan

1. ² log 3 = x , ⁵ log 2 = y , maka ⁸ log 75 ?

2. ² log 3 = x , ⁵ log 2 = y , maka ² log √15 ?

3. ² log 3 = x , ⁵ log 2 = y , maka ²√2 log 1/15 ?

pakai cara ya:)
makasihh

1 Jawaban

  • 1. ² log 3 = x , ⁵ log 2 = y , maka
    ⁸ log 75 = ²log75/²log8 =
    = ²log(5² × 3)/²log2³
    = (2²log5 + ²log3)/(3²log2)
    = (2/y + x )/3
    = (2 + xy)/3y

    2. ² log 3 = x , ⁵ log 2 = y , maka
    ² log √15 = ²log(3 ×5)^½
    = ½²log3 + ½²log5
    = x/2 + 1/2y
    = (xy + 1)/2y

    3. ² log 3 = x , ⁵ log 2 = y , maka
    ²√2 log 1/15 = ²log1/15 ÷ ²log√2
    = ²log(5x3)^-1 ÷ ²log2^½
    = (-²log5 -²log3 )/(½ x 1)
    = (-1/y - x ) /(½)
    = -2(1+ xy)/y

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