If a, b, c are in G.P., then log a, log b, log c are in
Explanation:
Give, b2 = a × c
Taking log both sides.
⇒ log b2 = log (a × c)
⇒ 2log b = log a + log c
⇒ log b = (log a + log c)/2
∴ log a, log b and log c are in A.P.
Note: If numbers are in G.P. their logs will always be in A.P.
Hence, option (a).
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.