The product of roots of the equation `(log_(8)(8//x^(2)))/((log_(8)x)^(2)) = 3` isA. 1B. `1//2`C. `1//3`D. `1//4`

The product of roots of the equation `(log_(8)(8//x^(2)))/((log_(8)x)^

1.	The product of roots of the equation `(log_(8)(8//x^(2)))/((log_(8)x)^(2)) = 3` isA. 1B. `1//2`C. `1//3`D. `1//4`
Answer» Correct Answer - D Let ` log_(8) x = y`, then the given equation reduces to ` (1-2y)//y^(2) = 3`. ` rArr 3y^(2)+2y - 1 = 0` `(3y-1)(y+1) = 0` ` rArr log_(8) x = y = 1//3, -1` ` rArr x = 2, 1//8`