Difference between revisions of "1995 AHSME Problems/Problem 24"
(→Solution) |
(→See Also) |
||
Line 21: | Line 21: | ||
==See Also== | ==See Also== | ||
+ | {{Old AMC12 box|year=1995|num-b=23|num-a=25}} |
Revision as of 11:33, 7 January 2008
Problems
There exist positive integers and , with no common factor greater than 1, such that
What is ?
Solution
Simplifying and taking the logs away,
.
Therefore, and . Since A, B, and C are relatively prime, C=1, B=4, A=3.
See Also
1995 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 23 |
Followed by Problem 25 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |