If a, b, c are in Geometric Progression (G.P.), then log a, log b, log c are in:

Model Answer & Options

Source: Extra Practice

Geometric Progression

Arithmetic Progression

Harmonic Progression

None of these

Explanation

If a, b, c are in G.P., then b^2 = ac. Taking the log of both sides: log(b^2) = log(ac). Using properties: 2 log b = log a + log c. This is the condition for log a, log b, log c to be in Arithmetic Progression (A.P.), where the middle term is the average of the outer terms.

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