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Jawaban Terkonfirmasi
Mapel : Matematika
Kelas : X SMA
Bab : Eksponen dan Logaritma
Pembahasan :
4^p = 2^(q + 7)
2^(2p) = 2^(q + 7)
2p = q + 7
2p – q = 7 —» 10p – 5q = 35
Log (8p + 5q) = 1
Log (8p + 5q) = Log 10
8p + 5q = 10
Eliminasi…
8p + 5q = 10
10p – 5q = 35
———————— (+)
18p = 45
p = 45/18
Substitusi…
2p – q = 7
2(45/18) – q = 7
90/18 – q = 7
Q = 90/18 – 7
Q = -36/18
Q = -2
Maka…
P – Q
= 45/18 – (-2)
= 45/18 + 2
= (45 + 36)/18
= 81/18
= 27/6
= 9/2
= 4(1/2)
Opsi D.