If `a ,\ b ,\ c` are in G.P. prove that `1/((log)_a m),1/((log)_b m),1/((log)_c m)` are in A.P.

Explanation

Given, `a ,\ b ,\ c`
are in G.P


Geomteric mean relation:


`b^2=ac`` \ \ \ (1)`


To prove: `1/((log)_a m),1/((log)_b m),1/((log)_c m)`


are in A.P.


`(log)_m a, (log)_m b, (log)_m c` are in A.P.


To prove: `2((log)_m b)=(log)_m c+(log)_m a`



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