If $x$ and $y$ are positive integers for which $2^x3^y = 1296$, what is the value of $x+y$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $x$ and $y$ are positive integers for which $2^x3^y = 1296$, what is the value of $x+y$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8
If $x$ and $y$ are positive integers for which $2^x3^y = 1296$, what is the value of $x+y$?
train