For n=1 (ln(ln(x))), the domain is the set of all real x>1 ;
for n=2, the domain is the set of all real x>e ;
for n=3, the domain is the set of all real x>e^e ;
for n=4, the domain is the set of all real x>e^(e^e)
...Thus, for a general n the domain is the set of all real x greater than...