Difference between revisions of "1953 AHSME Problems/Problem 39"
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<cmath>\log_a b\log_b a=1</cmath> | <cmath>\log_a b\log_b a=1</cmath> | ||
As a result, the answer should be 1 \boxed{A}. | As a result, the answer should be 1 \boxed{A}. | ||
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| + | ==See Also== | ||
| + | {{AHSME 50p box|year=1953|num-b=38|num-a=40}} | ||
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| + | {{MAA Notice}} | ||
Revision as of 00:43, 4 February 2020
![\[a^x=b\]](http://latex.artofproblemsolving.com/f/3/7/f375b04de3c53239b27b6d7abad77ded50419ae2.png)
![\[b^y=a\]](http://latex.artofproblemsolving.com/9/f/1/9f199df2a6672f2c121f76bbbbf16d857f7bcb3d.png)
![\[{a^x}^y=a\]](http://latex.artofproblemsolving.com/8/3/a/83a9dc65c79b012c6b82784abe87431cf6adf1c8.png)
![\[xy=1\]](http://latex.artofproblemsolving.com/4/9/7/4979305dd5b73b3790d6c4b89d10826fe6a6bbbc.png)
![\[\log_a b\log_b a=1\]](http://latex.artofproblemsolving.com/0/3/0/0307e46f37d6ad324959095283c8c5aa5f4de44a.png)
As a result, the answer should be 1 \boxed{A}.
See Also
| 1953 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 38 |
Followed by Problem 40 | |
| 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 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
