Prirodni brojevi

i

zadovoljavaju jednakost

Koje sve vrijednosti postiže

? Zapiši ih u uzlaznom poretku.
Natural numbers

and

satisfy the condition

What are all the possible values of

? Write them in ascending order.
[lang=hr]
Prirodni brojevi $a$ i $b$ zadovoljavaju jednakost
\[ \log_2(\log_{2^a}(\log_{2^b}(2^{1000})))=0. \]
Koje sve vrijednosti postiže $a+b$? Zapiši ih u uzlaznom poretku.
[/lang]
[lang=en]
Natural numbers $a$ and $b$ satisfy the condition
\[ \log_2(\log_{2^a}(\log_{2^b}(2^{1000})))=0. \]
What are all the possible values of $a+b$? Write them in ascending order.
[/lang]