If 52x = 169289 , the value of x is = ?

Answer: Option D

$$\begin{array}{rl}& \iff \frac{52}{x}\text{ = }\sqrt{\frac{169}{289}}\\ & \iff \frac{52}{x}=\frac{13}{17}\\ & \iff x=\left(\frac{52\times 17}{13}\right)\\ & \iff x=68\end{array}$$