Sederhanakan bentuk logaritma berikut ²log5+²log24-²log15
Matematika
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Pertanyaan
Sederhanakan bentuk logaritma berikut ²log5+²log24-²log15
2 Jawaban
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1. Jawaban andri77
sifat logaritma:
alogb + alogc = alog(b.c)
alogb - alogc = alog(b/c)
jawab:
²log5 + ²log24 - ²log15
= ²log(5 . 24) - ²log15
= ²log120 - ²log15
= ²log (120/15)
= ²log8
= 3
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2. Jawaban bayusadewo
2log5+2log24-2log15 = 2 log(5x24)/2log15 = 2log 120/2log15 = 2log6
2log8= 2log2^3 = 3 2log2 = 3.1 =3