Processing math: 88%
Home / Aptitude Tests / Further Mathematics / If \(8^{x} &div...
If 8x÷(14)y=1 and \(\log_...

If 8x÷(14)y=1 and log2(x2y)=1, find the value of (x - y)

A.

54

B.

35

C.

1

D.

23

Correct answer is A

8x÷(14)y=1

(23)x÷(22)y=20

23x(2y)=20

3x+2y=0....(1)

log2(x2y)=1

x2y=21=2.....(2)

Solving equations 1 and 2,

x=12,y=34

(xy)=1234=54