If a, b and c are in G.P., prove that : log a, log b and log c are in A.P. - Mathematics

If a, b and c are in G.P., prove that : log a, log b and log c are in A.P.

Sum

Here, a, b, c are in G.P.

`=>` b² = ac

Taking log on both sides, we get

log(b²) = log(ac)

`=>` 2log b = log a + log c

`=>` log b + log b = log a + log c

`=>` log b – log a = log c – log b

`=>` log a, log b and log c are in A.P.

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