Suppose that  $4^{x_1}=5$, $5^{x_2}=6$, $6^{x_3}=7, \dots, 127^{x_{124}}=128$. What is $x_1x_2\cdots x_{124}$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Suppose that  $4^{x_1}=5$, $5^{x_2}=6$, $6^{x_3}=7, \dots, 127^{x_{124}}=128$. What is $x_1x_2\cdots x_{124}$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{7}{2}
Suppose that  $4^{x_1}=5$, $5^{x_2}=6$, $6^{x_3}=7, \dots, 127^{x_{124}}=128$. What is $x_1x_2\cdots x_{124}$?
train