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Math Tutorial 13.3 - Modelling Curves using Logarithms

There are 5 lessons in this math tutorial covering Modelling Curves using Logarithms. The tutorial starts with an introduction to Modelling Curves using Logarithms 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 Modelling Curves using Logarithms. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

  • What are functions?
  • How do we recognize a function?
  • What are the names of the variables in a function? Why are they called so?
  • What is the graph of a function?
  • What is the exponential function? How to find its components?
  • How do we plot the graph of an exponential function?
  • How do we plot the graph of logarithmic functions.
  • How do we find the original function when its graph is given?
  • What does "modelling a curve" mean?
  • Why is modelling a curve useful when studying exponential functions?
  • How do we make the curves' modelling by using logarithms?

Introduction

What do you need to know if you are given the x-values of a mathematical relation and you are asked to find the corresponding y-values?

What kind of variables do the x-values of a graph represent? What about the corresponding y-values?

What do exponents and logarithms have in common? Are you able to switch from one form to the other?

What about the graphs of an exponential or logarithmic equation? Do you expect them to have straight lines as graphs?

This tutorial will answer all the above questions and much more. This is a long tutorial with several lessons so ensure you are confident in each lesson before proceeding with the next lesson as all stages in this tutorial require a full understanding of the concepts explained in the previous ones.

Please select a specific "Modelling Curves using Logarithms" 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
13.3Modelling Curves using Logarithms
Lesson IDMath Lesson TitleLessonVideo
Lesson
13.3.1A Brief Introduction to Functions
13.3.2Exponential Function Graphs
13.3.3Finding the Formula of an Unknown Exponential Function
13.3.4Logarithmic Function Graphs
13.3.5Modelling Curves Using Logarithms

Whats next?

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  2. Logarithms Video tutorial: Modelling Curves using Logarithms. Watch or listen to the Modelling Curves using Logarithms video tutorial, a useful way to help you revise when travelling to and from school/college
  3. Logarithms Revision Notes: Modelling Curves using Logarithms. Print the notes so you can revise the key points covered in the math tutorial for Modelling Curves using Logarithms
  4. Logarithms Practice Questions: Modelling Curves using Logarithms. Test and improve your knowledge of Modelling Curves using Logarithms with example questins and answers
  5. Check your calculations for Logarithms questions with our excellent Logarithms calculators which contain full equations and calculations clearly displayed line by line. See the Logarithms Calculators by iCalculator™ below.
  6. Continuing learning logarithms - read our next math tutorial: Natural Logarithm Function and Its Graph

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