Answer: option a.
Explanation:
To solve the given exercise nad write the expression as a single logarithm, you must keep on mind the following properties:
![ln(a)+ln(b)=ln(ab)\\m*ln(a)=ln(a)^m](https://img.qammunity.org/2020/formulas/mathematics/high-school/9kbfae52hmq48bgb5dovy9pxl0ttji1d3o.png)
Therefore, by applying the properties shown above, you can rewrite the expression given, as following:
![lnx^(2)+3lny=lnx^2+lny^3=ln(x^2y^3)](https://img.qammunity.org/2020/formulas/mathematics/high-school/g5xouxmsc2fq67nxeytidhz9p4yiqxikh8.png)
Then, the answer is the option a.