Question

Jika
2log 3= a
3log 5= b
nyatakan bentuk berikut dalam a danb :
1. 2 log 15
2. 4 log 75

Answer 1

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

2 log 15 = 2 log(5.3) = 2 log 5 + 2 log 3 = ab + a = a(b+1)
4 log 75 = 2 log 75 / 2 log 4 = 2 log (25.3) / 2 log 4 
= 2 log 25 + 2 log 3 / 2 log 4
= (2ab + a) / 2