The natural log of e^2 is denoted by ln(e^{2}) and its value is equal to 2. That is, the value of ln(e^2) is given by

ln(e^{2}) = 2.

## ln(e^{2}) Formula

As ln(e^{k}) = k, the formula of ln(e^{2}) is given as follows:

$\boxed{\ln e^k = k}$

## Proof of ln(e^{2}) = 2

Let us assume that

x = ln(e^{2}).

As ln = log_{e}, this implies that

x = log_{e} e^{2}.

⇒ x =2 log_{e}e using the logarithm rule log_{a}b^{k }= k log_{a}b.

⇒ x =2 × 1 as we know log_{a}a = 1.

⇒ x =2.

Therefore, the value of ln(e^{2}) is equal to 2.

**You Can Read:** Value of log_{2}16

## FAQs

**Q1: What is the value of ln(e^2)?**

Answer: The value of ln(e^{2}) is 2.

**Q2: What is the value of ln(e^3)?**

Answer: The value of ln(e^{3}) is equal to 3.