A) A.P.
B) G.P.
C) H.P.
D) None of these
Correct Answer: C
Solution :
Given a, b, c are in G.P. Þ \[{{\log }_{x}}a,{{\log }_{x}}b,{{\log }_{x}}c\]are in A.P. Þ \[\frac{\log a}{\log x},\frac{\log b}{\log x},\frac{\log c}{\log x}\]are in A.P. Þ \[\frac{\log x}{\log a},\frac{\log x}{\log b},\frac{\log x}{\log c}\]are in H.P. i.e., \[{{\log }_{a}}x,\,{{\log }_{b}}x,{{\log }_{c}}x\]are in H.P.
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