Jika dik 2log-5 + p dan 5log3-q logaritma berikut p dan q 75 log 18 30 log 6 6 log 54
Matematika
Anggiautami
Pertanyaan
Jika dik 2log-5 + p dan 5log3-q logaritma berikut p dan q
75 log 18
30 log 6
6 log 54
75 log 18
30 log 6
6 log 54
1 Jawaban
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1. Jawaban Anonyme
Ngetik soal yg rapi ya... :)
2'log 5 = p
5'log 3 = q
•
75'log 18
= 5'log 18 / 5'log 75
= (5'log (3² × 2)) / (5'log (5² × 3))
= (5'log 3² + 5'log 2) / (5'log 5² + 5'log 3))
= (2q + 1/p) / (2 + q)
= (2pq + 1) / (2p + pq)
•
30'log 6
= 5'log (2 × 3) / 5'log (2 × 3 × 5)
= (5'log 2 + 5'log 3) / (5'log 2 + 5'log 3 + 5'log 5)
= (1/p + q) / ( 1/p + q + 1)
= (1 + pq) / (1 + pq + p)
•
Buat kamu :)