Let $a, b$ and $c$ be real numbers, each greater than 1, such that
$$\frac{2}{3}\log_b a + \frac{3}{5}\log_c b + \frac{5}{2}\log_a c = 3$$
If the value of $b$ is 9, then the value of $a$ must be\\
(A) $\sqrt[3]{81}$\\
(B) $\frac{27}{2}$\\
(C) 18\\
(D) 27.