2004 AMC 12A Problems/Problem 16
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Problem
The set of all real numbers 
for which
is defined is 
. 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 • Resources) | ||
| Preceded by Problem 15 | Followed by Problem 17 | |
| 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 | ||
