If `m` and `n` are the solution of the equation `|x-2|^(log_(2)x^(3)-3log_(2)4)=(x-2)^(3)` ,then the value of `m^(2)+n^(2)` is

the equation of log_(2)(3-x)+log_(2)(1-x)=3

The equation x^(3/4(log_(2)x)^(2)+log_(2)x-5/4)=sqrt(2) has

Find the values of x satisfying the equation |x-2|^(log_(3)x^(4)-3log_(x)9)(x-2)^(10)=1 .

The sum of the real solutions of the equation log_(2)|x^(2)+2x-3|-log_(2)|x+3|=3

Solution(s) of the equation.3x^(2)-2x^(3)=log_(2)(x^(2)+1)-log_(2)x is/are

If xgt2 is a solution of the equation |log_sqrt3x-2|+|log_3x-2|=2 , then the value of x is

If x_(1), x_(2)(x_(1) gt x_(2)) are the two solutions of the equation 3^(log_(2)x)-12(x^(log_(16)9))=log_(3)((1)/(3))^(3^(3)) , then the value of x_(1)-2x_(2) is :

Number of solutions of the equation log_(x-3)(x^(2)-3x-4)=2, is

The number of solutions of the equation log_(x-3)(x^(3)-3x^(2)-4x+8)=3 is