1961 AHSME Problems/Problem 33

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Problem 33

The number of solutions of $2^{2x}-3^{2y}=55$, in which $x$ and $y$ are integers, is:

$\textbf{(A)}\ 0 \qquad\textbf{(B)}\ 1\qquad\textbf{(C)}\ 2\qquad\textbf{(D)}\ 3}\qquad\textbf{(E)}\ \text{More than three, but finite} }$ (Error compiling LaTeX. Unknown error_msg) The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png