Math Lesson 13.4.3 - Definition of Natural Logarithm

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Welcome to our Math lesson on Definition of Natural Logarithm, this is the third lesson of our suite of math lessons covering the topic of Natural Logarithm Function and Its Graph, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.

Definition of Natural Logarithm

The natural logarithm of a number a is the logarithm with the base e of that number. We write 'ln' instead of 'log' to express the natural logarithm. (The symbol 'ln' is an acronym for 'natural logarithm' in Latin) When doing this, we do not write the base e, similar to the base 10 logarithms. Thus,

For example,

because

The importance of the natural logarithm is evident in the fact that all calculators contain the 'ln' option. We can use the natural logarithm instead of the base 10 logarithms for everything we did in the previous tutorial, including curves modelling.

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7. Continuing learning logarithms - read our next math tutorial: Definition and Properties of Logarithms

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