Jika ⁵log3 = a dan ³log4 = b maka ⁴log15 =....
Matematika
Elisarahayu
Pertanyaan
Jika ⁵log3 = a dan ³log4 = b
maka ⁴log15 =....
maka ⁴log15 =....
1 Jawaban
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1. Jawaban hendrisyafa
⁵Log 3 = a --> ³Log 5 = ¹/ₐ
³Log 4 = b --> ⁴Log 3 = ¹/ᵇ
⁵Log 3 x ³Log 4 = ⁵Log 4
a x b = ⁵Log 4 --> ⁵Log 4 = ab
⁴Log 15 = Log 15 / Log 4
= ⁵Log 15/ ⁵Log 4
= ⁵Log (5.3) / ⁵Log 4
= ⁵Log 5 + ⁵Log 3 / ⁵Log 4
= 1+a / ab