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Question

If three numbers be in G.P, then their logarithms will be in


A

A.P

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B

G.P

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C

H.P

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D

None of these

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Solution

The correct option is A

A.P


Explanation for the correct option:

Finding the relation:

Let's say a,b,c are in G.P

According to the properties of Geometric progression, three non-zero terms a,b,c are in G.P if and only if ,

b2=ac

Taking log on both sides we get,

logb2=logac2logb=loga+logc[logab=bloga,logab=loga+logb]logb=loga+logc2

loga,logb,logc are in A.P.

Hence, the correct option is A.


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