Question

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

Answer 1

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`