What is a Natural Logarithm?

What is a Natural Logarithm?

Note:

A natural logarithm is a logarithm that has a special base. In this tutorial, you'll be introduced to natural logarithms!

Keywords:

  • definition
  • natural logarithm
  • log
  • logs
  • e
  • base
  • ln

Background Tutorials

  • Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

      • What's an Irrational Number?What's an Irrational Number?

      What's an Irrational Number?

      Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.

  • Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

      • What is e?What is e?

      What is e?

      In math, 'e' isn't just a letter, it's an irrational number! This tutorial shows you how mathematicians use the letter 'e' to represent a specific value and how having a base of 'e' is called a natural base.

Further Exploration

  • Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.