What is the Change of Base Formula?

What is the Change of Base Formula?

Note:

If you don't like the base of a logarithm, you can change it using the Change of Base Formula! This tutorial explains the Change of Base Formula for logarithms and how to use it.

Keywords:

  • formula
  • change of base
  • logarithms
  • logarithm
  • log
  • logs
  • common
  • base 10

Background Tutorials

  • Evaluating Expressions

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

      • What is the Substitution Property of Equality?What is the Substitution Property of Equality?

      What is the Substitution Property of Equality?

      If you ever plug a value in for a variable into an expression or equation, you're using the Substitution Property of Equality. This property allows you to substitute quantities for each other into an expression as long as those quantities are equal. Watch this tutorial to learn about this useful property!

  • Exponential Functions

      • What's an Exponential Function?What's an Exponential Function?

      What's an Exponential Function?

      Looking at an equation with a variable in the exponent? You have an exponential function! Learn about exponential functions in this tutorial.

  • Solving for a Variable

  • Rules of Exponents

      • What's the Power of a Power Rule?What's the Power of a Power Rule?

      What's the Power of a Power Rule?

      Sometimes you'll see a number with an exponent raised to another exponent, and the first time you see it, you probably think it's a typo! But it's not a typo, it's a real thing, and there's a really nice trick for making it simpler that you'll see in the video.

Further Exploration

  • Using Properties of Logarithms

      • How Do You Express a Logarithm in Terms of Common Logarithms?How Do You Express a Logarithm in Terms of Common Logarithms?

      How Do You Express a Logarithm in Terms of Common Logarithms?

      If you want to find the answer to a logarithm, it can be helpful to change the logarithm so it has the common base of 10. To do that, you need to use the Change of Base Formula. This tutorial shows you how to take a logarithm and rewrite it as a common logarithm.