" The maximum integral value of `x` for which `f(x)=log_(10)(log_(1/3)(log_(4)(x-5)))` 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 :

The number of integral values of a for which f(x)=log(log_((1)/(3))(log_(7)(sin x+a))) is defined for every real value of x is

The domain of f(x) = log_(3)log_(4)log_(5)(x) is

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

Find domain of f(x)=log_(5)(log_(4)(log_(3)(log_(2)x)))

Find the domain of the function f(x)=log_(10)((log_(10)x^(2))-5log_(10)x+6)

Find the value of x satisfying (log_(10)(2^(x)+x-41)=x(1-log_(10)5)

Find the value of x,log_(4)(x+3)-log_(4)(x-1)=log_(4)8-2

If (d)/(dx)[log_(10)(log_(10)x)]=(log_(10)e)/(f(x))," then "f(x)=