The number of iintegral values of a for which `f(x)= log(log_(1//3)(log_(7)(sinx+a)))` is defined for every real value of x is ________.

The number of integral values of a for which f(x)="log"((log)_(1/3)((log)_7(sinx+a))) is defined for every real value of x is ________

Number of integral values of x satisfying function f(x)=log(x-1)+log(3-x)

Let f(x)=log(log)_(1/3)((log)_7(sinx+a))) be defined for every real value of x , then the possible value of a is 3 (b) 4 (c) 5 (d) 6

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

The value of x for which y=log_(2){-log_(1//2)(1+(1)/(x^(1//4)))-1} is a real number are

Complete set of real values of x for which log_((2x-3))(x^(2)-5x-6) is defined is :

The maximum integral values of x in the domain of f (x) =log _(10)(log _(1//3)(log _(4) (x-5)) is : (a). 5 (b). 7 (c). 8 (d). 9

The number of points on the real line where the function f(x) = log_(|x^2-1|)|x-3| is not defined is

The length of the interval in which the function f defined as f(x) = log_(2){-log_(1//2)(1+(1)/(6sqrt(x)))-1} is (0, k), then the value of k________.

The number of value(s) of x satisfying 1-log_(3)(x+1)^(2)=1/2log_(sqrt(3))((x+5)/(x+3)) is