Question

If a b c are real numbers such that they are in gp then logcb logac logba are in ap find common difference

Answer 1

then ac =b²
common difference=logcb-logac
=log{cb/ac}
similarly
=log(b/a)=log(c/b)=log(a/c)
i.e b/a=c/b=a/c
hence a=b=c
hence c.d=0