Source: Extra Practice
If a, b, c are in Geometric Progression (G.P.), then log a, log b, log c are in:
Options
Option A
Geometric Progression
Option B is correct
Arithmetic Progression
Option C
Harmonic Progression
Option D
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.