Consider the system of equations ` log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9`. The value of x in the intervalA. `(200, 300)`B. ` (400, 500)`C. `(700, 800)`D. none of these

Consider the system of equations ` log_(3)(log_(2)x)+log_(1//3)(log_(1

1.	Consider the system of equations ` log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9`. The value of x in the intervalA. `(200, 300)`B. ` (400, 500)`C. `(700, 800)`D. none of these
Answer» Correct Answer - C `log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) = 1` ` rArr log_(3) (log_(2)x)-log_(3)(-log_(2)y) = 1` ` rArr log_(3)(-(log_(2)x)/(log_(2)y)) = 1` ` rArr -(log_(2)x)/(log_(2)y) = 3` ` rArr xy^(3) = 1` Also, ` xy^(2) = 9` ` rArr y = 1/9` ` :. x = 729`