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#### Dhamnekar Winod

##### Active member

- Nov 17, 2018

- 115

If a,b, c, are in G.P and $\log_ba, \log_cb,\log_ac$ are in A.P. I want to find the common difference of A.P.

Answer:

After doing some computations, I stuck here. $\frac{2(\log a+\log r)}{\log a+2\log r}=\frac{2(\log a)^2+3\log r\log a +2(\log r)^2}{(\log a)^2+\log r\log a}$

How to proceed further? (a= 1st term in G.P. r= common ratio of G.P.)

Answer is $\frac32$. I don't understand how it is computed. If any member knowing further computations to arrive at the answer, may reply.

Answer:

After doing some computations, I stuck here. $\frac{2(\log a+\log r)}{\log a+2\log r}=\frac{2(\log a)^2+3\log r\log a +2(\log r)^2}{(\log a)^2+\log r\log a}$

How to proceed further? (a= 1st term in G.P. r= common ratio of G.P.)

Answer is $\frac32$. I don't understand how it is computed. If any member knowing further computations to arrive at the answer, may reply.

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