Given positive real numbers $x$ and $y$ such that $\log_y x + \log_x y = 7$, what is $(\log_y x)^2 + (\log_x y)^2$?
Question:
Given positive real numbers $x$ and $y$ such that $\log_y x + \log_x y = 7$, what is $(\log_y x)^2 + (\log_x y)^2$?
Answer:
Let's think step by step.

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Given positive real numbers $x$ and $y$ such that $\log_y x + \log_x y = 7$, what is $(\log_y x)^2 + (\log_x y)^2$?
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