1973 AHSME Problem 28

If a, b, and c are in geometric progression (G.P.) with 1 < a < b < c and n>1 is an integer, then \log_an, \log_bn, \log_cn form a sequence

\textbf{(A)}\ \text{which is a G.P} \qquad

\textbf{(B)}\ \text{whichi is an arithmetic progression (A.P)} \qquad

\textbf{(C)}\ \text{in which the reciprocals of the terms form an A.P} \qquad

\textbf{(D)}\ \text{in which the second and third terms are the }n\text{th powers of the first and second respectively} \qquad

\textbf{(E)}\ \text{none of these}

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