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The number of solutions of the equation (1-2(log x 2 ) 2 )/(log x-2 (logx ) 2 ) = 1

The number of solutions of the equation (1-2(log x2)2)/(log x-2 (logx )2) = 1

Grade:11

1 Answers

Chetan Mandayam Nayakar
312 Points
9 years ago

Dear Kshitiz,

let logx=y, equation becomes (1-8y2)=y-2y2

6y2+y-1=0,y=(-1±5)/2=-3 or +2

log(x)=-3 or 2,x=e-3 or e2

Thus, there are two solutions

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Chetan Mandayam Nayakar

 

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