Sederhanakan logaritma tersebut
Matematika
Rsalmaa
Pertanyaan
Sederhanakan logaritma tersebut
1 Jawaban
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1. Jawaban Vhianz
²log40 + 2 ²log5 - ²log8 = ²log(4 x 10) + 2 ²log5 + 3
= ²log4 + ²log10 + 2 ²log5 + 3
= 2 + ²log(5x2) + 2 ²log5 + 3
= 5 + ²log2 + ²log5 + 2 ²log5
= 5 + 1 + 3 ²log5
= 6 + 3 ²log5
³log25.⁵log81 - ³log2 = ³log5².⁵log3⁴ - ³log2 = 2.4.³log5.⁵log3 - ³log2 = 8.1 - ³log2 = 8 - ³log2