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The product of roots of the equation (lo...

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`

Text Solution

Verified by Experts

The correct Answer is:
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`
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