Difference between revisions of "2002 AMC 12P Problems/Problem 21"
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== Solution == | == Solution == | ||
− | We may rewrite the given equation as <math>2(\frac {log c}{log a} + \frac {log c}{log b})</math> | + | We may rewrite the given equation as <math>2(\frac {\log c}{\log a} + \frac {\log c}{\log b})</math> |
== See also == | == See also == | ||
{{AMC12 box|year=2002|ab=P|num-b=20|num-a=22}} | {{AMC12 box|year=2002|ab=P|num-b=20|num-a=22}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 14:49, 10 March 2024
Problem
Let and be real numbers greater than for which there exists a positive real number different from , such that
Find the largest possible value of
Solution
We may rewrite the given equation as
See also
2002 AMC 12P (Problems • Answer Key • Resources) | |
Preceded by Problem 20 |
Followed by Problem 22 |
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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