2005 AMC 10B Problems/Problem 17
Contents
[hide]Problem
Suppose that , , , and . What is ?
Solution
Solution 2 (logarithms)
We can write as , as , as , and as .
We know that can be rewritten as , so we have:
Solution 3 (logarithm chain rule)
As in Solution 2, we can write as , as , as , and as . is equivalent to . By the logarithm chain rule, this is equivalent to , which evaluates to .
~solver1104
See Also
2005 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 16 |
Followed by Problem 18 | |
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