Jika ^8log 25 = p, nyatakan logaritma berikut dalam p! ^5log 2?
Matematika
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Pertanyaan
Jika ^8log 25 = p, nyatakan logaritma berikut dalam p!
^5log 2?
^5log 2?
1 Jawaban
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1. Jawaban Anonyme
8'log 25 = p
2³'log 5² = p
(2/3) . 2'log 5 = p
2'log 5 = 3/2 p
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5'log 2 = 2/(3p)
2'log 125 = 2'log 5³ = 3 . 3/2 p = 9/2 p
0,5'log 20
= 0,5'log 2² + 0,5'log 5
= (2/-1) . 2'log 2 + (-1) . 2'log 5
= -2 - 3/2 p
√5 'log 80
= √5 'log 5 + √5 'log 2⁴
= 2 . 5'log 5 + 2 × 4 . 5'log 2
= 2 + 8 . 2/(3p)
= 2 + 16/(3p)