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Logaritma
D
Bentuk umum: a = c + "log₁ = b
Syarat: ao, a € 0, c>0
Keterangan: a = bilangan pokok (basis)
b pangkat (hasil logaritma)
=
c = numerus
Sifat-sifat logaritma:
1. alog a = 1
2. a log 1
= O
3.
Tugb™ =
b'
2
exo
log 2 = 1
ex
B
2
log 1
= 0
m. a log b
D
4.9 log (b. c) = log b + a logc
3
exε "log 8 = 22 lug 2² = 22.² log 2 = 323
5
100 S
ex: log 25-log 4 = log (45 × 4) = log 100 = 2
5. "log (2) = "logb - "logc ex85 log 100- "log4=³log 4 = "109 25 = 2
6. a logb.blogc = "loge ex: "lug 5x 5 log 36 = "log 36 = 2
7. a log b = bloga
8. a log b = Plogb
Plog a
ex: ³log 2
=24098
ex%
logo
10 tog 2
=