Which is greater: $2^{15}$ or $3^{10}$?

Which is greater: $2^{15}$ or $3^{10}$?
  1. $3^{10}$
  2. $2^{15}$
  3. Equal
  4. Cannot say

Solution

Common index 5: $8^{5}$ vs $9^{5}$. Since $9 > 8$, $3^{10} > 2^{15}$.

Asked in: IMO

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