Answer: option d
Explanation:
By definition, you know that:
![log_a(a^n)=n](https://img.qammunity.org/2020/formulas/mathematics/high-school/7wid5x9du113qmbpx12tmjuqraxwxxdf4h.png)
Where: a is the base of the logarithm.
You also know that the base of
is the Euler's number, which is "
".
Therefore, when you apply the property shown above, you obtain the following:
![ln(e^2)=log_e(e^2)\\ln(e^2)=2](https://img.qammunity.org/2020/formulas/mathematics/high-school/57ssjn9rpad6l3h1ogekvws4wu7c1ll2db.png)
Then, you can conclude that the answer is the shown in the option d.