Question

Diketahui 2log 9=a 5log2=b 5log7=c Tentukan nilai

3log 16 - 14log 25
_______________
5log63
dalam bentuk a,b,dan c

Answer 1

2log 9 = a maka log 9 = a log 2
5log 2 = b maka log 5 = b log 2 = ab log 2

6log 45 = log 45 / log 6
= (2 log 3 + log 5) / (log 3 + log 2)
= (2a log 2 + ab log 2) / (a log 2 + log 2)
= (2a + ab) / (a + 1)