Q.

The product of roots of the equation log8⁡8/x2log8⁡x2=3 is

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a

1

b

½

c

d

¼

answer is D.

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Detailed Solution

Let log8⁡x=y,   then the given equation reduces to (1−2y)/y2=3⇒ 3y2+2y−1=0(3y−1)(y+1)=0⇒log8⁡x=y=1/3,−1⇒ x=2,1/8
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The product of roots of the equation log8⁡8/x2log8⁡x2=3 is