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:

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