SOLUTION: what is the domain of the function f(x)=ln(ln(ln(ln(x)))) ?? how to solve it??

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Question 1009852: what is the domain of the function f(x)=ln(ln(ln(ln(x)))) ??
how to solve it??
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
We want to find the domain of

f%28x%29=ln%28ln%28ln%28ln%28x%29%5E%22%22%29%5E%22%22%29%5E%22%22%29

Crux:  Only natural logs of positive numbers are real numbers.




because x must be positive



because ln(x) is only positive when x > 1



because ln%28ln%28x%29%5E%22%22%29 is only positive when x > e



because ln%28ln%28ln%28x%29%5E%22%22%29%5E%22%22%29 is only positive when x > ee.

Edwin