A) A.P.
B) H.P.
C) G.P.
D) None of these
Correct Answer: C
Solution :
Here \[\frac{\log x}{\log a},\ \frac{\log x}{\log b},\ \frac{\log x}{\log c}\] are in H.P. \[\Rightarrow \]\[\frac{\log a}{\log x},\ \frac{\log b}{\log x},\ \frac{\log c}{\log x}\] are in A.P. \[\Rightarrow \]\[{{\log }_{x}}a,\ {{\log }_{x}}b,\ {{\log }_{x}}c\] are in A.P. \[\Rightarrow \]\[a,\ b,\ c\] are in G.P. Note: Students should remember this question as a fact.
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