Question

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

Answer 1

Verified answer

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