Logarithmic Scale: Definition & Overview

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question 1 of 3

Which of the following statements is FALSE concerning logarithmic scales?

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1. A semi-log chart is created in which the y-axis has been converted to base 10 logarithms. At a particular x value, the corresponding y value falls exactly halfway between 3 and 4. What original number is being represented on the y-axis?

2. A log-log chart is created using base 10 logarithms for both axes. An x value of -1.5 corresponds to a y value of -2. What are the original numbers being represented by x and y?

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About This Quiz & Worksheet

Logarithmic scales are very useful for converting graphs into viewable information. After reviewing this quiz and worksheet, you should be able to understand the basic definition of logarithms and how to apply this mathematical concept to charts and graphs.

Quiz & Worksheet Goals

This quiz and worksheet will help you review:

  • The definition of logarithms and logarithmic scale
  • Standard logarithm notation
  • How to apply logarithmic scale to several types of graphical information
  • Different types of charts

Skills Practiced

Use these materials to practice these skills:

  • Making connections - use understanding of the concept of semi-log charts
  • Problem solving - use acquired knowledge to solve logarithmic scale practice problems
  • Interpreting information - verify that you can read information regarding log-log charts and interpret it correctly

Additional Learning

Look over Logarithmic Scale: Definition & Overview to learn more about this mathematical concept and its applications. In that lesson, you will cover the following objectives:

  • Show how to rescale axes on a graph
  • Discuss the definition of logarithmic scale
  • Describe different types of logarithmic charts, such as semi-log and log-log
  • Provide real-world applications of using logarithmic scale on graphs
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