Difference between revisions of "2004 AMC 12A Problems/Problem 16"
(sol) |
(No difference)
|
Revision as of 21:06, 3 December 2007
Problem
The set of all real numbers for which
is defined as . What is the value of
?
Solution
We know that the domain of , where
is a constant, is
. So
. By the definition of logarithms, we then have
. Then
and
.
See also
2004 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 14 |
Followed by Problem 16 |
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 |