2log8 + 3log9 + 5log125

Materi : Eksponen dan Logaritma
Bahasan : Sifat - Sifat Logaritma
Jawaban : 8

Langkah - langkah :
²log 8 + ³log 9 + ⁵log 125

²log 8 = ²log 2³ = 3
³log 9 = ³log 3² = 2
⁵log 125 = ⁵log 5³ = 3

²log 8 + ³log 9 + ⁵log 125 = 3 + 2 + 3
²log 8 + ³log 9 + ⁵log 125 = 8

²log8 + ³log9 + ⁵log125
= ²log2³ + ³log3² + ⁵log5³
= 3.²log2 + 2.³log3 + 3.⁵log5
= 3.1 + 2.1 + 3.1
= 3 + 2 + 3
= 8