SOLUTION: What is the range of log(log(logx))) plz help

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Question 1115862: What is the range of log(log(logx))) plz help
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's work from the outside in,
f%28x%29=log%28%28z%29%29 so then
z=log%28%28y%29%29 and
z%3E=0 by substitution,
log%28%28y%29%29%3E0 so then,
y=log%28%28x%29%29 and
y%3E=1 by substitution,
log%28%28x%29%29%3E=1 so finally,
x%3E=10

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
In this problem,  the range is from  -infinity  to  infinity.

But the question should ask about the  domain  -  not about the range.

The domain is   x > 10.


Again:   the domain is   x > 10.   The value of  10  is not included to the domain !