If $125^b=5$ and $27^b=c$, what is the value of $c$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $125^b=5$ and $27^b=c$, what is the value of $c$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
If $125^b=5$ and $27^b=c$, what is the value of $c$?
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