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If a, b, c(a, b, c >1) are in GP, then log a x, log b x, log c x are in (x >1) AP GP HP

If a, b, c(a, b, c >1) are in GP, then logax, logbx, logcx are in (x >1)
  1. AP
  2. GP
  3. HP

Grade:12

1 Answers

Nazish Umar Ansari
20 Points
9 years ago
let a=A, and r be the common ratio then b=Ar and C=Ar^2
then on taking Log
log xa= log A 
logxb= log A + log r
logxc=log A + log r2 = log A + 2 log r
as logxa , logxb and logxc are in A.P. then logax , logbx and logcx will be in H.P.

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