functions

please tell the domain of the following function
$ f(x)= logloglog...................logx $
.....n times......
where log has base 10

Comments

domain

For n=1 x>0
for n=2 x>1
for n=3 x>10
for n=4 $ x>10^{10} $
for n>3

$$x>10^{10^{10^{...^{10}}}}$$

n-2 times

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