Question 2
Positive integers $a$ and $b$ satisfy the condition $$
\log_2(\log_{2^a}(\log_{2^b}(2^{1000}))) = 0.
$$ Find the sum of all possible values of $a + b.$
\log_2(\log_{2^a}(\log_{2^b}(2^{1000}))) = 0.
$$ Find the sum of all possible values of $a + b.$