Sequence And Series Question 310
Question: If $ a,b,c $ are in G.P. then $ {\log_{a}}x,{\log_{b}}x,{\log_{c}}x $ are in
[RPET 2002]
Options:
A) A.P.
B) G.P.
C) H.P.
D) None of these
Show Answer
Answer:
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.
BETA
