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(sqrt(3)-1)x=(sqrt(3)+1)...

(sqrt(3)-1)x=(sqrt(3)+1)

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A square of side a lies above the X- axis and has one vertex at the origin . The side passing through the origin makes an angle pi//6 with the positive direction of X-axis .The equation of its diagonal not passing through the origin is y(sqrt(3)-1)-x(1-sqrt(3))=2a y(sqrt(3)+1) +x(1-sqrt(3))=2a y(sqrt(3)+1)+x(1+sqrt(3)) =2a y(sqrt(3)+1)+x(sqrt(3)-1)=2a

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Number of solutions of the equation (sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=2^(3x) is

Number of values of x, satisfying the equation (sqrt(3)+1)^(2)x+(sqrt(3)-1)^(2)x=2^(3)x, is equal to