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INSTRUCTORS Carleen Eaton Grant Fraser
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For more information, please see full course syllabus of Algebra 2
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Base 'e' and Natural Logarithms

  • To solve exponential equations or inequalities involving base e, take the natural log (ln) of both sides.

  • To solve natural log equations or inequalities, write each side as a power of e. Always check for extraneous solutions -- values which result in taking the logarithm of a non-positive value in the original equation or inequality. Exclude such values from the solution set.

Base 'e' and Natural Logarithms

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • The Number 'e' 0:32
    • Natural Base
    • Euler
    • Natural Exponential Function
    • Natural Log Function
    • Growth and Decay
  • Natural Logarithms 3:16
    • Graph (Inverse)
  • Equations and Inequalities 4:49
  • Lecture Example 1 7:21
  • Lecture Example 2 9:10
  • Additional Example 3
  • Additional Example 4