Question 26
Compute the number of ordered pairs of integers $(a, b)$, with $2 \leq a, b \leq 2021$, that satisfy the equation
$$
a^{\log_{b}\left(a^{-4}\right)} = b^{\log_{a}\left(b a^{-3}\right)}.
$$
$$
a^{\log_{b}\left(a^{-4}\right)} = b^{\log_{a}\left(b a^{-3}\right)}.
$$