If $F(a, b, c, d) = a^b + c ^ d$, what is the value of $b$ such that $F(4, b, 2, 3) = 12$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $F(a, b, c, d) = a^b + c ^ d$, what is the value of $b$ such that $F(4, b, 2, 3) = 12$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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If $F(a, b, c, d) = a^b + c ^ d$, what is the value of $b$ such that $F(4, b, 2, 3) = 12$?
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