3^p=9. (27)^q dan 2^log 7 - 2^log(11q -2p) = 1
Matematika
RaffaAzhar6655
Pertanyaan
3^p=9. (27)^q dan 2^log 7 - 2^log(11q -2p) = 1
1 Jawaban
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1. Jawaban SadonoSukirno
3^p = 3² . (3³)^q
3^p = 3^(2+3q)
p = 2 + 3q
²log 7 - ²log (11q - 2p) = 1
²log {7/(11q-2p)} = ²log 2
7 / (11q - 2p) = 2
7 = 2(11q - 2p)
7 = 22q - 4p
substitusi kan p
7 = 22q - 4(2 + 3q)
7 = 22q - 8 - 12q
7 + 8 = 10q
15 = 10q
q = 15/10 = 1,5
p = 2 + 3(1,5)
p = 2 + 4,5 = 6,5