Question

. If 2* = y and log2 y = 3 then find
(x - y)2​

Answer 1

Answer:

Correct option is

D

x=2, y=6

log

2

(x+y)=3

and log

2

x+log

2

y=2+log

2

3

since log

2

(x+y)=3=log

2

2

3

=log

2

8

⇒x+y=8 ...(1)

Again log

2

x+log

2

y=2+log

2

3=log

2

4+log

2

3

⇒log

2

(xy)=log

2

12

⇒xy=12 ...(2)

By solving (1) and (2), we get x=2 or x=6 and y=6 or y=2

Then, x=2,y=6