sifat sifat logaritma dan contohnya

Sifat 1
alog x + a log y = a log xy
Contoh :
Sederhanakanlah !
a. 2 log 4 + 2 log 8
Jawab :
a. 2 log 4 + 2 log 8 = 2 log 4 . 8 = 2 log 32 = 5


Sifat 2
alog x – a log y = a log (x/y)
Contoh:
Sederhanakanlah!
a. 2 log 16 – 2 log 8
Jawab :
a. 2 log 16 – 2 log 8 = 2 log (16/8) = 2 log 2 = 1

Sifat 3
alog x n = n . a log x
Contoh :
Sederhanakan!
a. 2 log 3 + 4 log 3
Jawab:
a. 2 log 3 + 4 log 3 = log 3 2 + log 3 4
= log 9 + log 81
= log 9 . 81
= log 729

Sifat 4
alog b x b log c = a log c
Contoh :
a. 3 log 7 x 7 log 81 = 3 log 81 = 3 log 3 4 = 4
b. 2 log 5 x 5 log 32 = 2 log 32 = 2 log 2 5 = 5