Lesson Plan: Laws of Logarithms Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use the laws of logarithms to simplify logarithmic expressions and prove logarithmic statements.


Students will be able to

  • use the laws of logarithms to simplify and expand logarithmic numerical and algebraic expressions:
    • log(𝑎)=1,
    • log(1)=0,
    • the multiplication law,
    • the division law,
    • the power law,
    • the base changing law,
    • the multiplicative inverse law,
  • use the laws of logarithms to
    • validate, prove, and rewrite logarithmic statements,
    • evaluate and approximate numerical logarithmic expressions,
    • prove logarithmic statements and write equivalent logarithmic statements,
    • evaluate a given exponential expression with a very high exponent,
    • solve word problems,
  • use the laws of logarithms to solve logarithmic equations.


Students should already be familiar with

  • evaluating single logarithms,
  • writing statements in exponential and logarithmic form.


Students will not cover

  • the change of base rule,
  • solving exponential equations using logarithms,
  • natural logarithms.

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