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Math Tutorial 13.4 - Natural Logarithm Function and Its Graph

There are 7 lessons in this math tutorial covering Natural Logarithm Function and Its Graph. The tutorial starts with an introduction to Natural Logarithm Function and Its Graph and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Natural Logarithm Function and Its Graph. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What is Euler's Number? How do we find it?
  • What is the history of Euler's Number?
  • How do we write Euler's Number?
  • What is a natural logarithm?
  • What are the rules applied in natural logarithms?
  • How do we solve equations involving natural logarithms?
  • How do we deal with natural logarithm functions?
  • How do we plot the graph of natural logarithm functions?
  • How do we model the curves produced by natural logarithm functions?

Introduction

What is a logarithmic function? How do we plot its graph?

Do you remember what Euler's Number represents? What is its value?

What if the base of the logarithm was Euler's Number? Is this number qualified to be the base of a logarithm? Think about its value before answering.

In this tutorial, we will deal with the natural logarithm - a name given to 'base e' logarithms, where the properties, the corresponding function and its graph are explained. Moreover, we will build on the knowledge of curves modelling, this time focusing on the exponential functions containing Euler's Number.

Please select a specific "Natural Logarithm Function and Its Graph" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Logarithms Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
13.4Natural Logarithm Function and Its Graph
Lesson IDMath Lesson TitleLessonVideo
Lesson
13.4.1Understanding Euler's Number
13.4.2The History of Euler's Number
13.4.3Definition of Natural Logarithm
13.4.4Natural Logarithm Rules
13.4.5Equations Involving Natural Logarithm
13.4.6The Natural Logarithm Function and its Graph
13.4.7Modelling the Exponential Curve using Natural Logarithm

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  3. Logarithms Revision Notes: Natural Logarithm Function and Its Graph. Print the notes so you can revise the key points covered in the math tutorial for Natural Logarithm Function and Its Graph
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  6. Continuing learning logarithms - read our next math tutorial: Definition and Properties of Logarithms

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