What is the domain of the function $f(x)=\log_2(\log_3(\log_4(\log_5x)))$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the domain of the function $f(x)=\log_2(\log_3(\log_4(\log_5x)))$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
(625, \infty)
What is the domain of the function $f(x)=\log_2(\log_3(\log_4(\log_5x)))$?
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