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`[dot]` represetns the greatest integer function) ___

If [log_2 (x/[[x]))]>=0 . where [.] denotes the greatest integer function, then :

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

If alpha is an integer satisfying | alpha|<=4-|[x]| where x is a real number for which 2x tan^(-1)x is greater than or equal to ln(1+x^(2)), then the number of maximum possible values of alpha (where I.l represents the greatest integer function is

The value of x satisfying the equation 2log_(3)x+8=3.x log_(9)4

If [log_(2)((x)/([x]))]>=0, where [.] denote the greatest integer function,then

f(x)=sin^(-1)[log_(2)((x^(2))/(2))] where [.] denotes the greatest integer function.

Value of x satisfying the equation log_(2)(9-2^(x))=x-3 is :

Evaluate :(lim)_(x rarr2^(+))([x-2])/(log(x-2)), where [.] represents the greatest integer function.

The value of x satisfies the equation (1-2(log x^(2)))/(log x-2(log x)^(2))=1