Difference between revisions of "2002 AMC 12A Problems/Problem 14"
(New page: == Problem == For all positive integers <math>n</math>, let <math>f(n)=\log_{2002} n^2</math>. Let <math>N=f(11)+f(13)+f(14)</math>. Which of the following relations is true? <math> \tex...) |
(No difference)
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Revision as of 18:30, 18 February 2009
Problem
For all positive integers , let . Let . Which of the following relations is true?
Solution
First, note that .
Using the fact that for any base we have , we get that .
See Also
2002 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 13 |
Followed by Problem 15 |
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 12 Problems and Solutions |