The value of natural log of e is equal to 1. The natural log of e is denoted by ln(e), and it is equal to log_{e}e.

The formula of natural log of e is given by ln(e) =1.

## Value of Natural log of e

**Question:** What is natural log of e?

**Answer:** The natural log of e is equal to 1.

**Explanation:**

Let the natural logarithm of e is equal to M, that is,

M = ln (e)

⇒ M = log_{e} e

⇒ e^{M} = e, by the definition of logarithms.

⇒ e^{M} = e^{1}

Equating the exponents, we obtain that M=1. As M=ln(e), we have shown the following:

The value of natural logarithm of e is equal to 1.

**You Can Read:** Log 8 base 2

## Question-Answer

Question: What is the natural logarithm of e^{2} (e square)? That is, find the value of ln e^{2}. |

**Answer:**

The natural log of e^{2} is equal to

ln(e^{2}) = log_{e} e^{2} = 2 log_{e} e = 2 as we know that log_{a}a=1.

So the natural log of e square is equal to 2.

**More Logarithms:** Log 81 base 3 | Log 27 base 3

## FAQs

### Q1: What is the value of natural log of e?

**Answer:** The value of natural log of e is equal to 1, that is, log_{e}e =1.

### Q2: What is the value of ln e?

**Answer:** The value of ln e is equal to 1.

### Q3: What is the value of ln e^{2}?

**Answer:** The value of ln e^{2} is equal to 2.