\textbf{102-} Suppose $\log_5(3x-2) = 1$. Given $\begin{vmatrix} \log 5 & \log 7 \\ \log 7 & \log 5 \end{vmatrix}$, what is the value of $x$? \medskip (1) $9$ \hfill (2) $\dfrac{17}{7}$ \hfill (3) $4$ \hfill (4) $\dfrac{7}{3}$ \bigskip