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Q.

If a, b, c are G.P., then log a, log b, log c are in?

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a

A.P

b

G.P.

c

H.P.

d

None

answer is A.

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Detailed Solution

We are given that the variables a, b, c are in geometric progression.
We have to find log a, log b, log c in which progression.
We know that when the numbers or variables are in Geometric Progression, then the square of the 2nd term is equal to the product of the 1st term and 3rd term.
Here a is the 1st term, b is the 2nd term and c is the 3rd term.
This means

.
Apply logarithm to the above equation,

.

Where

Question Image

When p, q, r are in an Arithmetic progression, then 2q = p + r
Here
Question Image

Question Image

Therefore, log a, log b, log c are in Arithmetic Progression.

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