Difference between revisions of "1961 AHSME Problems/Problem 33"
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The number of solutions of <math>2^{2x}-3^{2y}=55</math>, in which <math>x</math> and <math>y</math> are integers, is: | The number of solutions of <math>2^{2x}-3^{2y}=55</math>, in which <math>x</math> and <math>y</math> are integers, is: | ||
| − | < | + | <cmath>\textbf{(A)} \ 0 \qquad\textbf{(B)} \ 1 \qquad \textbf{(C)} \ 2 \qquad\textbf{(D)} \ 3\qquad \textbf{(E)} \ \text{More than three, but finite}</cmath> |
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 15:25, 5 September 2017
Problem 33
The number of solutions of 
, in which 
and 
are integers, is:
![\[\textbf{(A)} \ 0 \qquad\textbf{(B)} \ 1 \qquad \textbf{(C)} \ 2 \qquad\textbf{(D)} \ 3\qquad \textbf{(E)} \ \text{More than three, but finite}\]](http://latex.artofproblemsolving.com/a/6/b/a6bc1b96cd570e295625859fd6c23a66e6ab7b6b.png)
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
