How to Solve Logarithmic Equations Video


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question 1 of 3

To exponentiate both sides of an equation is to _____

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What is the diameter (D) of the lens (in mm) that is required by a telescope to see stars of magnitude (M) = 17?

Use the logarithmic equation M = 5 log D + 2 where M is magnitude and D is diameter.

2. When the log (of the same base) is the outermost step on both sides of the equation, the logs _____.

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About This Quiz & Worksheet

A logarithmic equation involves the use of logarithms and can be solved by exponentiating. Use this quiz and worksheet to test your proficiency in solving these equations, as well as your understanding of lens diameter, inverse operations, and logs.

Quiz & Worksheet Goals

This quiz and worksheet combination will test your ability to:

  • Define 'exponentiate'
  • Calculate the lens diameter needed in a sample problem
  • Apply your understanding of how logs relate to each other in equations
  • Explain what the inverse operation of a log is
  • Solve exponential equations

Skills Practiced

These assessments allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on solving logarithmic equations
  • Problem solving - use acquired knowledge to solve practice problems involving logarithmic equations
  • Interpreting information - verify that you can read information regarding the inverse operation of a log and interpret it correctly
  • Information recall - access the knowledge you've gained regarding what happens when the log is the outermost step of each side of an equation

Additional Learning

To continue learning about these equations, view the accompanying lesson on How to Solve Logarithmic Equations. The following objectives are covered in the lesson:

  • Understand the properties of logarithms
  • Identify logarithmic equations
  • Explore how to solve an equation when two logs are on the same side
  • Follow along with step-by-step solutions to logarithmic equations using exponentiation