Difference between revisions of "Mock AIME 5 Pre 2005 Problems/Problem 15"
(Created page with "We need to find <math>[log_2{53}]+[log_2{54}]+[log_2{55}]+...+[log_2{64}], and since </math>2^{\frac{11}{2}}=\sqrt{2048}<46<math>, and we have </math>[log_2{53}]=[log_2{54}]=[...") |
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Revision as of 00:11, 15 February 2024
We need to find 2^{\frac{11}{2}}=\sqrt{2048}<46[log_2{53}]=[log_2{54}]=[log_2{55}]=...=[log_2{64}]=66\times12=\boxed{72}$. ~AbbyWong