Answer to Question #223021 in Algebra for ulmighty super

Question

The domain of the function define by f(x) = √[Inx/ (Inx-1)] is?

Answer 1

$$\begin{cases} \dfrac{\ln x}{\ln x-1}\geq 0 \\ x>0 \\ \ln x\not=1 \end{cases}$$

$$\begin{cases} \ln x\leq0\ or\ \ln x> 1 \\ x>0 \\ \end{cases}$$

Domain: $(0, 1]\cup(e, \infin)$