Question

Sebutkan sifat sifat logaritma beserta contohnya

Answer 1

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

Sifat 2
alog x – alog y = alog (x/y)
Contoh:
log 1.000 – log 100
Jawab :
log 1.000 – log 100 = log (1000/100) = log 10 = 1

Sifat 3
alog xn = n . alog x
Contoh :
2 log 3 + 4 log 3
Jawab:
2 log 3 + 4 log 3 = log 32 + log 34
= log 9 + log 81
= log 9 . 81
= log 729

Sifat 4
alog b x blog c = alog c
Contoh :
3log 7 x 7log 81 = 3log 81 = 3log 34 = 4

Sifat 5


Sifat 6
a alog x = x
Contoh :
42log 3
Jawab :
42log 3 = 22.2log 3 = 22log 32 = 9

Sifat 7
anlog bm = (n/m)alog b
a ≠ 1
Contoh :
25log 27 = 52log 33= (3/2)5log 3 = 3/2a