Consider the function $\displaystyle~f(x)=x^n\ln x\,$, defined for $\displaystyle~x>0\,$.
Determine, in terms of $\displaystyle~n\,$, the value of $\displaystyle~x~$ for which $\displaystyle~f\,'(x)=0\,$.
$\qquad\displaystyle x=$ [[☃ expression 1]]