Difference between revisions of "2005 AMC 12B Problems/Problem 23"
Fuzzy growl (talk | contribs) (→Problem) |
Fuzzy growl (talk | contribs) (→See also) |
||
| Line 16: | Line 16: | ||
== Solution == | == Solution == | ||
| − | == See | + | == See Also == |
| − | + | ||
| + | {{AMC12 box|year=2005|ab=B|num-b=22|num-a=24}} | ||
Revision as of 18:12, 22 February 2010
Problem
Let 
be the set of ordered triples 
of real numbers for which
![\[\log_{10}(x+y) = z \text{ and } \log_{10}(x^{2}+y^{2}) = z+1.\]](http://latex.artofproblemsolving.com/c/1/1/c117b87dca578c53d5694e7f783975909325a5bc.png)
There are real numbers 
and 
such that for all ordered triples 
in we have 
What is the value of 
Solution
See Also
| 2005 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 22 |
Followed by Problem 24 |
| 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 | |
