Question

Tolong dibantu ya yg bisa
poinya agak tinggi

Answer 1

5 log 3 = a
2 log 5 = b
2 log 3 = ab

15 log 40 = 15 log 2³ + 15 log 5
                = 3 ( 1 / (2 log 3 + 2log5)) + 1 / (5 log 3  + 5log5)
                = 3 ( 1 / (ab + b)) + 1 / (a + 1)
               = 3 / (ab + b)  + 1 / (a+1)
               = 3/ (ab + b) + b/ (ab + b)
              = (3 + b) / (ab + b)

Answer 2

⁵log 3 = a
²log 5 = b
.
²log 5 . ⁵log 3 = a.b
²log 3 = ab

¹⁵log 40 = ²log 40 / ²log 15
= (²log 5 + ²log 8)/(²log 5 + ²log 3)
= (²log 5 + ²log 2³)/(²log 5 + ²log 3)
= (b + 3)/( b + ab)