hasil dari 3 log 2 + 3 log 9 - 3 log 18 + 3 log 81
Matematika
Ikaa1111
Pertanyaan
hasil dari 3 log 2 + 3 log 9 - 3 log 18 + 3 log 81
1 Jawaban
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1. Jawaban ArZain
Bab : Logaritma
Sifat logaritma:
ᵃlog(b.c) = ᵃlogb + ᵃlogc
ᵃlog(b/c) = ᵃlogb - ᵃlogc
ᵃlogbˣ = x.ᵃlogb
ᵃloga = 1
Pembahasan:
³log2 + ³log 9 - ³log18 + ³log81
= ³log(2.9) - ³log18 + ³log81
= ³log18 - ³log18 + ³log81
= ³log(18/18) + ³log81
= ³log1 + ³log81
= ³log(1.81)
= ³log81
= ³log3⁵
= 5.³log3
= 5(1)
= 5