Find the domain of function y = log log log............. log log log x . number of log is n times is given and base of every log is2 .

for logloglog......logloglogx firstly we need to define each log take the log`s inside the bracket log(logloglog....(n-1)....loglogx) and define them :- i.e. loglog...(n-1)...loglogx>0 => x> 2^(n-1) since exponential functions cannot be neagtive there x>0 and x is also greater than 2^(n-1) therefore domain is (2^(n-1), infinity)