Problem

2000 AMC 12 Problem 7

How many positive integers b have the property that \log_{b} 729 is a positive integer?

\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 1 \qquad \textbf{(C)}\ 2 \qquad \textbf{(D)}\ 3 \qquad \textbf{(E)}\ 4


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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