(2) Given two lines $l_{1}: y=2, l_{2}: y=4$, let the graph of the function $y=3^{x}$ intersect $l_{1} 、 l_{2}$ at points $A 、 B$, and the graph of the function $y=5^{x}$ intersect $l_{1} 、 l_{2}$ at points $C$ 、 $D$, then the coordinates of the intersection point of lines $A B$ and $C D$ are $\qquad$ .
(2) $(0,0)$ Hint: It is easy to know that $A\left(\log _{3} 2,2\right) 、 B\left(\log _{3} 4,4\right) 、 C\left(\log _{5} 2\right.$,
2)、 $D\left(\log _{5} 4,4\right)$, then
$$
\begin{array}{l}
k_{A B}=\frac{4-2}{\log _{3} 4-\log _{3} 2}=\frac{2-0}{\log _{3} 2-0}=k_{O A}, \\
k_{C D}=\frac{4-2}{\log _{5} 4-\log _{5} 2}=\frac{2-0}{\log _{5} 2-0}=k_{O C} .
\end{array}
$$

Therefore, $O 、 A 、 B$ and $O 、 C 、 D$ are collinear respectively.
Hence, the lines $A B$ and $C D$ intersect at the origin $O(0,0)$.