Difference between revisions of "2004 AMC 12B Problems/Problem 17"
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Revision as of 18:58, 3 July 2013
Problem
For some real numbers and , the equation has three distinct positive roots. If the sum of the base- logarithms of the roots is , what is the value of ?
Solution
Let the three roots be . By Vieta’s formulas, gives us that .
See also
2004 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 16 |
Followed by Problem 18 |
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 |
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