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 log_ee.

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 = 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) = log_e e² = 2 log_e e = 2 as we know that log_aa=1.

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

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

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