ln of e
To understand the natural logarithm of e, let’s first review what each of these terms means
To understand the natural logarithm of e, let’s first review what each of these terms means.
The natural logarithm, denoted as ln, is a logarithm with a base of e. It is the inverse function of the exponential function with base e, which is denoted as ex. In simpler terms, the natural logarithm tells you what power you need to raise e to in order to obtain a given value.
Now, e is a mathematical constant approximately equal to 2.71828. It is an important number that appears frequently in many branches of mathematics, including calculus and logarithms. It is an irrational number, which means it cannot be expressed as a simple fraction.
When we take the natural logarithm of e, we are asking the question “What power do we need to raise e to in order to obtain e?” Since the exponent and the base are the same value, the answer to this question is 1.
Therefore, ln(e) = 1.
In other words, the natural logarithm of e is 1.
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