If `xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1` , then x equalsA. 4B. 8C. 16D. 64

If `xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1`

1.	If `xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1` , then x equalsA. 4B. 8C. 16D. 64
Answer» Correct Answer - D `log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y)= 1` `or log_(3)(log_(2)x)-log_(3)(log_(1//2)y) = 1` ` or log_(3)(log_(2)(4//y^(2)))-log_(3)(log_(1//2)y) = 1` ` or log_(2)(4//y^(2))=3(log_(1//2)y)` ` or log_(2)(4//y^(2))=- 3 (log_(2)y)` `or log_(2)(4//y^(2))+(log_(2)y^(3))=0` ` or 4y = 1` ` or y = 1//4` ` rArr x = 64`