Consider the statement $ \log \bigg(\large\frac{5c}{a} \bigg),\: \log \bigg(\large\frac{3b}{5c} \bigg)$ and $ \log \bigg(\large\frac{a}{3b} \bigg)$ are in AP, where a,b,c are in GP. The statement is true only if a,b,c are the lengths of sides of

Question

$\begin {array} {1 1} (A)\;an\: isosceles \: triangle & \quad (B)\;an\: equilateral\: triangle \\ (C)\;a\: scalene\: triangle & \quad (D)\;None \: of\: these \end {array}$