Difference between revisions of "2014 AMC 10A Problems/Problem 25"
(Created page with "==Problem== The number <math>5^{867}</math> is between <math>2^{2013}</math> and <math>2^{2014}</math>. How many pairs of integers <math>(m,n)</math> are there such that <math>...") |
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\textbf{(D) }281\qquad | \textbf{(D) }281\qquad | ||
\textbf{(E) }282\qquad</math> | \textbf{(E) }282\qquad</math> | ||
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| + | ==Solution== | ||
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| + | ==See Also== | ||
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| + | {{AMC10 box|year=2014|ab=A|num-b=24|after=Last Problem}} | ||
| + | {{MAA Notice}} | ||
Revision as of 23:21, 6 February 2014
Problem
The number 
is between 
and 
. How many pairs of integers 
are there such that 
and ![\[5^n<2^m<2^{m+2}<5^{n+1}?\]](http://latex.artofproblemsolving.com/c/0/d/c0dd87b90d59f4e58a09e5b2e78b8af6511482d5.png)
Solution
See Also
| 2014 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 24 |
Followed by Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
