For what value of $x$ does $2^{12} = \left(\frac{1}{8}\right)^x$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For what value of $x$ does $2^{12} = \left(\frac{1}{8}\right)^x$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-4
For what value of $x$ does $2^{12} = \left(\frac{1}{8}\right)^x$?
train