Let `f(x)=(log)_2(log)_3(log)_4(log)_5(sin x+a^2)dot` Find the set of values of `a` for which the domain of `f(x)i sRdot`

The domain of f(x)=log|logx| is

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:

Write the set of values of ' a ' for which f(x)=(log)_a x is decreasing in its domain.

Write the set of values of ' a ' for which f(x)=(log)_a x is increasing in its domain.

Find domain of f(x) = log_5(log_4(log_3(log_2 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

If f is a real function, find the domain of f(x)=(1)/(log|x|)

Let f(x) be a function such that f'(x)=(log)_(1/2)[(log)_3(sinx+a)]dot If f(x) is decreasing for all real values of x , then (a) a in (1,4) (b) a in (4,oo) (c) a in (2,3) (d) a in (2,oo)

Let f(x) be a function such that f^(prime)(x)=(log)_(1/3)[(log)_3(sinx+a)]dot If f(x) is decreasing for all real values of x , then a in (1,4) (b) a in (4,oo) a in (2,3) (d) a in (2,oo)

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.