Question

If p, q, r are in GP, prove that log p, log q, log r are in Ap​

Answer 1

Given,

p,q,and r are in gp

so, q^2=rp ::(b^2=ac)

Now , Take log both sides ,

log(q^2)=log(rp)

= 2 log q =log r +log p

For AP the condition is

2b=a+c

so , log p ,log q and log r are in AP

Formula :

log(mn)= log m +log n

log b^a =a log b

HENCE ,PROVE

Answer 2

Explanation:

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