How to Solve Logarithmic Equations


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question 1 of 3

To exponentiate both sides of an equation is to _____

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1. What is the diameter of lens, in mm, that is required by a telescope to see stars of magnitude 17?

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.

Quiz & Worksheet Goals

This quiz and worksheet combination will test you on:

  • Logarithmic equations
  • Properties of logarithms
  • Exponentiation

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 logarithmic equations and interpret it correctly
  • Information recall - access the knowledge you've gained regarding logarithmic equations and how to solve them

Additional Learning

To continue learning about solving logarithmic 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
  • Define exponentiation
  • Solve logarithmic equations using exponentiation