2log 50 - 2log 5 / 2log6 + 2 log 10 - 2log 12 =
Matematika
rasyid162
Pertanyaan
2log 50 - 2log 5 / 2log6 + 2 log 10 - 2log 12 =
1 Jawaban
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1. Jawaban dillaalf
(²log 50 - ²log 5) ÷ (²log 6 + ²log 10 - ²log 12)
= (²log (2 × 5²) - ²log 5) ÷ (²log (2 × 3) + ²log (2 × 5) - ²log (2² × 3)
= (²log 2 + ²log 5² - ²log 5) ÷ (²log 2 + ²log 3 + ²log 2 + ²log 5 - (²log 2² + ²log 3))
= (1 + 2 ²log 5 - ²log 5) ÷ (1 + ²log 3 + 1 + ²log 5 - 2 - ²log 3)
= (1 + ²log 5) ÷ ²log 5
Jawaban bisa sampe sini aja. atau diterusin lagi juga bisa.
= (1 + ²log 5) ÷ ²log 5
= (²log 2 + ²log 5) ÷ ²log 5
= ²log (2 × 5) ÷ ²log 5
= ²log 10 ÷ ²log 5
= [tex] ^{5} [/tex]log 10
= [tex] ^{5} [/tex]log (5 × 2)
= [tex] ^{5} [/tex]log 5 + [tex] ^{5} [/tex]log 2
= 1 + [tex] ^{5} [/tex]log 2