tolong jawab sama bantuin cara nya yaa

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.