Question
The solution set of the equation xlogx(1−x)2=9 is
Answer: Option B
:
B
xlogx(1−x)2=9
⇒logx(9)=logx(1−x)2(;∵ ax=N ⇒logaN=x)
⇒9=(1−x2) ⇒1+x2−2x−9=0
⇒x2−2x−8=0 ⇒(x + 2)(x - 4) = 0 ⇒x = -2, 4
But x>0;∴x=4
Was this answer helpful ?
:
B
xlogx(1−x)2=9
⇒logx(9)=logx(1−x)2(;∵ ax=N ⇒logaN=x)
⇒9=(1−x2) ⇒1+x2−2x−9=0
⇒x2−2x−8=0 ⇒(x + 2)(x - 4) = 0 ⇒x = -2, 4
But x>0;∴x=4
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution