2004 AMC 12B Problems/Problem 17
Contents
[hide]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 .
Video Solution
~IceMatrix
See also
2004 AMC 12B (Problems • Answer Key • Resources) | |
Preceded by Problem 16 |
Followed by Problem 18 |
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All AMC 12 Problems and Solutions |
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