Find Natural log of e: ln e Value

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 logee.

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

Natural log of e

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 = loge e

⇒ eM = e, by the definition of logarithms.

⇒ eM = e1

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

Log 2 base 8 | Log 81 base 27

Question-Answer

Question: What is the natural logarithm of e2 (e square)? That is, find the value of ln e2.

Answer:

The natural log of e2 is equal to

ln(e2) = loge e2 = 2 loge e = 2 as we know that logaa=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, logee =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 e2?

Answer: The value of ln e2 is equal to 2.

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