Jika ^8log 25 = p, nyatakan logaritma berikut dalam p! ^5log 2?

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Jika ^8log 25 = p, nyatakan logaritma berikut dalam p! 
^5log 2?

Jika ^8log 25 = p, nyatakan logaritma berikut dalam p!
^5log 2?

Jawaban Terkonfirmasi

8'log 25 = p
2³'log 5² = p
(2/3) . 2'log 5 = p
2'log 5 = 3/2 p


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)