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Mathematics · Grade 11

Exponential and Logarithmic Functions

Learners extend exponential models to the base e and continuous compounding, define the logarithm as the inverse of exponentiation, derive the product, quotient and power properties from the exponent laws, and use logarithms (including change of base) to solve exponential equations for doubling times, half-lives and growth rates.

  • 4 lessons
  • About 130 minutes
  • Exponentials and logarithms check: 11 questions
  • Ways to answer: choose an answer, match pairs, type a number, put in order, true or false and write a short answer
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What learners will discover

  • Model growth and decay with exponential functions, including the base e and continuous compounding, and compare compounding schemes.
  • Define logarithms as inverses of exponential functions, convert between exponential and logarithmic form, evaluate logarithms and describe their graphs.
  • Derive the product, quotient and power properties of logarithms from exponent laws and use them, together with change of base, to rewrite expressions.
  • Solve exponential and logarithmic equations and apply them to doubling time, half-life and growth-rate questions.

Lessons

  1. Exponential models and the number e 6 steps3 practiceabout 30 min
  2. Logarithms as inverses 6 steps4 practiceabout 30 min
  3. Properties of logarithms 6 steps4 practiceabout 32 min
  4. Solving exponential and logarithmic equations 7 steps4 practiceabout 32 min
  5. Exponentials and logarithms check 11 questions at the end

Keep exploring

More 11th grade math

Guide for grown-ups