Logarithmic Function: Definition & Examples


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question 1 of 3

Write the following as an exponential function:

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1. Write the following as an exponential function:

2. A logarithmic function is the inverse of what type of function?

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About This Quiz & Worksheet

This quiz and corresponding worksheet allow you to check your ability to apply the mathematical rules of logarithmic functions. You will be quizzed on how to change the form of logarithmic and exponential expressions, and the basic relationship between the two.

Quiz & Worksheet Goals

This assessment will test your understanding of:

  • Transforming a logarithmic function into exponential form
  • The relationship between logarithms and other functions
  • Rewriting exponential functions as logarithms

Skills Practiced

  • Problem solving - use acquired knowledge to transform logarithms into exponents and vice versa
  • Information recall - access the knowledge you've gained regarding exponential and logarithmic functions
  • Knowledge application - use your knowledge to answer questions about logarithmic notation

Additional Learning

To learn more about logarithms, review the accompanying lesson called Logarithmic Function: Definition and Examples. This lesson covers the following objectives:

  • Learn what a logarithm is and how it is related to exponents
  • Define the functional model for exponents and logarithms
  • Read logarithmic functions aloud using proper terminology
  • Understand basic logarithmic terms, such as base and common log
  • Practice transforming functions between logarithmic and exponential form
  • Know real-world applications of logarithms, including earthquake intensity calculation
  • Understand when natural logarithms are used