Logaritma

Jika 2 log 3 = a dan 3 log 5 = b, nyatakan bentuk berikut dalam a dan b !
-> 2 log 15
-> 4 log 75

2'log5 = 2'log3.3'log5 = ab
krn 2'log15 = 2'log3 + 2'log5
2'log15 = a + ab
= a(1+b)

4'log75 = 4'log25 + 4'log3

karena
4'log25 = 2'2'log5'2 = 2'log5 = ab
dan
4'log3 = 2'2'log3 = (1/2).2'log3 = a/2

maka
4'log75 = ab + (a/2) = a(b + 1/2) 
a/2+ab = a(b+1/2)