Find the range of `f(x)=(log)_e x-((log)_e x)^2/(|(log)_e x|)`

Find the range of f(x)=log_(e)sin x

Find the range of f(x)=log_(e)x-((log_(e)x)^(2))/(|log_(e)x|)

Find the range of f(x)=cos(log_(e){x})

The differential coefficient of f((log)_e x) with respect to x , where f(x)=(log)_e x , is (a)x/((log)_e x) (b) 1/x(log)_e x (c)1/(x(log)_e x) (d) none of these

If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)_e y)/(x(1-y(log)_e x(log)_e y)

Find fog and gof , if f(x)=e^x , g(x)=(log)_e x

The domain of f(x)=log|log_(e)x| , is

The domain of f(x)=log_(e)|log_(e)^(x)| is

find the anti-derivative of f(x)=log(log x)+(log x)^(-2)dx which passes through (e,e) is

Evaluate: int(e^(5)(log)_(e)x-e^(4)(log)_(e)x)/(e^(3)(log)_(e)x-e^(2)(log)_(e^(x))x)dx