Question 16
Suppose $x$ and $y$ are positive real numbers such that
$$
x^y = 2^{64}
$$ and $$
(\log_2 x)^{\log_2 y} = 2^7.
$$
What is the greatest possible value of $\log_2 y?$
$$
x^y = 2^{64}
$$ and $$
(\log_2 x)^{\log_2 y} = 2^7.
$$
What is the greatest possible value of $\log_2 y?$