2019 AMC 12A Problems/Problem 15
Problem
Positive real numbers 
and 
have the property that
![\[\sqrt{\log{a}} + \sqrt{\log{b}} + \log \sqrt{a} + \log \sqrt{b} = 100\]](http://latex.artofproblemsolving.com/3/9/0/390863333afc338a0d3a3157a3e2be1d552a68c2.png)
and all four terms on the left are positive integers, where log denotes the base 10 logarithm. What is 
?
Solution
See Also
| 2019 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 | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
