How many more digits does the base-10 number 87 have when expressed in base 2 than when expressed in base 3?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many more digits does the base-10 number 87 have when expressed in base 2 than when expressed in base 3?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
2
How many more digits does the base-10 number 87 have when expressed in base 2 than when expressed in base 3?
train