# Find the domain of $x$ for the convergence of the series $\sum_{n=1}^{\infty} \left(\frac{\ln(n)}{n}\right)^{x}$

Question: Find the domain of $x$ for the convergence of the series $$\sum_{n=1}^{\infty} \left(\frac{\ln(n)}{n}\right)^{x}.$$