Difference between revisions of "2017 AIME II Problems/Problem 7"
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| − | + | ==Problem== | |
Find the number of integer values of <math>k</math> in the closed interval <math>[-500,500]</math> for which the equation <math>\log(kx)=2\log(x+2)</math> has exactly one real solution. | Find the number of integer values of <math>k</math> in the closed interval <math>[-500,500]</math> for which the equation <math>\log(kx)=2\log(x+2)</math> has exactly one real solution. | ||
| − | + | ==Solution== | |
<math>\boxed{501}</math> | <math>\boxed{501}</math> | ||
| + | |||
| + | =See Also= | ||
| + | {{AIME box|year=2017|n=II|num-b=6|num-a=8}} | ||
| + | {{MAA Notice}} | ||
Revision as of 11:53, 23 March 2017
Problem
Find the number of integer values of 
in the closed interval ![$[-500,500]$](http://latex.artofproblemsolving.com/7/6/8/768f4e11a324ee335c6a0689a310fdaa8c33c921.png)
for which the equation 
has exactly one real solution.
Solution
See Also
| 2017 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
