Changing the Base

I can't calculate a base-2 logarithm since my calculator doesn't have a base-2 log key. Young mathematicians use the change of base formula to extend the properties of logarithms to all bases. Among these bases is the natural log base, leading to the introduction of the natural logarithm.

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CCSS: Designed
Additional Tags
Instructional Ideas
  • Use the problem set as a homework assignment
  • Introduce the class to Wolfram Alpha (which is briefly mentioned in the lesson notes), as this online resource may be helpful to learners when calculators are not available
Classroom Considerations
  • Pupils should have access to calculators with a log key and ln key
  • Includes printable versions of the lesson notes, problem set, and exit ticket
  • Teacher resource contains tips for scaffolding techniques
  • None
Common Core