If `(2)^(log_(2)x^(2))-(3)^(log_(3)(x))-6=0` ,then sum of all possible values of x is

If log_(3/2)((2x-8)/(x-2))<0 then set of all possible values of x is :

If x=(4)/(9) satisfies the equation log_(a)(x^(2)-x+2)>log_(a)(-x^(2)+2x+3) then the sum of all possible distinct values of [x] is (where [.] represetns the greatest integer function) =

If 2^((log_(2)3)^(x))=3^((log_(3)2)^(x)) then the value of x is equal to

If log_(2)x+log_(2)y>=6prove that the smallest possible value of x+y is 16.

log_(2)(8x-x^(2)-7)=log_(2)(x^(4)-12x^(3)+40x^(2)-34x-7), then possible values of x is/are

If log_(2)(log_(2)(log_(3)x))=log_(2)(log_(3)(log_(2)y))=0 then the value of (x+y) is

If exactly one root of the equation x^(2)-2kx+k^(2)-1=0 satisfies the inequality log_(sqrt(3))(2-x)<=0 then find sum of all possible integral values of k

If 3log_((3x^(2)))27-2log_((3x))9=0 , then what is the value of x?

Let f(x)=25^(-cos x+3^(-a)) wheree a=log_(3)log_(4)5. If 80

If log_(2)(log_(2)(log_(3)x))=log_(3)(log_(3)(log_(2)y))=0 , then x-y is equal to :