1973 AMC 12 Question 28
AMC12 · 1973 AMC 12
If $a,$ $b,$ and $c$ are in geometric progression (G.P.) with $1\lt a\lt b\lt c$ and $n\gt1$ is an integer, then $\log_a n,$ $\log_b n,$ $\log_c n$ form a sequence
which is a G.P.
which is an arithmetic progression (A.P.)
in which the reciprocals of the terms form an
A.P.
in which the second and third terms are the $n$th powers of
the first and second respectively
none of these