How Do You Solve a Logarithmic Equation by Exponentiating?

How Do You Solve a Logarithmic Equation by Exponentiating?

Note:

Equations involving logarithms don't have to be scary. Just get rid of the logarithm by exponentiating and solve like any other equation! This tutorial shows you all the steps.

Keywords:

  • problem
  • solve
  • logarithmic equation
  • logarithm
  • log
  • logs
  • exponentiating

Background Tutorials

  • Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • 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!

  • Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

      • What's the Multiplication Property of Equality?What's the Multiplication Property of Equality?

      What's the Multiplication Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the multiplication property of equality, and it lets you multiply both sides of an equation by the same number. Watch the video to see it in action!

      • What's the Division Property of Equality?What's the Division Property of Equality?

      What's the Division Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the division property of equality, and it lets you divide both sides of an equation by the same number. Watch the video to see it in action!

  • Know and apply the properties of integer exponents to generate equivalent numerical expressions.

      • What are Exponents?What are Exponents?

      What are Exponents?

      Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

  • Use the properties of exponents to transform expressions for 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.

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

      • How Do You Evaluate a Logarithm?How Do You Evaluate a Logarithm?

      How Do You Evaluate a Logarithm?

      If you want to solve a logarithm, you can rewrite it in exponential form and solve it that way! Follow along with this tutorial to practice solving a logarithm by first converting it to exponential form.