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a, b, c are sides of a triangle and a, ...

`a, b, c` are sides of a triangle and `a, b, c` are in GP If `log a- log 2b, log 2b-log 3c and log 3c-log a` are in AP then

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a,b,c are sides of triangles
`b^2=ac-(1)`
A,B,C are in AP
`2B=A+C`
`2(log2b-log3C)=loga-log2b-logc-loga`
`2log((2b)/(3c))=loga/(2b)+log(3c)/a`
`log((2b)/(3c))^2=log(a/(2b)*(3c)/a)`
`((2b)/(3c))^2=(a)/(2b)*(3c)/(a)`
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