If $\log_{x-1}(10-2x)=2$, find $x$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\log_{x-1}(10-2x)=2$, find $x$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
3
If $\log_{x-1}(10-2x)=2$, find $x$.
train