Let `f(x)= a^x -x ln a`, a>1.Then the complete set of real values of x for which `f'(x)>0` is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

The largest set of real values of x for which ln(1+x)<=x is

The set of real values of x for which f(x)=(x)/(Logx) is increasing is

The set of real values of x for which f(x)=(x)/(logx) is increasing is :

Let f(x) =int_1^x e^t/tdt,x in R^+ . Then complete set of valuesof x for which f(x) leq In x is

Let f(x) =int_1^x e^t/tdt,x in R^+ . Then complete set of valuesof x for which f(x) leq In x is

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

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

The complete set of values of x for which f(x)=(ln x)/(x) increasing in interval

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is: