Find $(\log_2 x)^2$ if $\log_2 (\log_8 x) = \log_8 (\log_2 x).$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find $(\log_2 x)^2$ if $\log_2 (\log_8 x) = \log_8 (\log_2 x).$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
27
Find $(\log_2 x)^2$ if $\log_2 (\log_8 x) = \log_8 (\log_2 x).$
train