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Free 11th Grade Exponentials & Logarithms Worksheets

5 free exponentials & logarithms resources for 11th Grade: 4 worksheets, 1 study guide. Answers included.

Exponential growth, log laws and solving log equations. 11th grade is the first year of senior study.

Students will practice: simplifying expressions using the laws of exponents, including fractional and negative exponents; converting between index form and logarithmic form; simplifying and expanding expressions using the logarithm laws; solving exponential and logarithmic equations, checking that solutions are in the domain; describing the intercept, asymptote and range of transformed exponential graphs; solving exponential equations by writing both sides with the same base; solving exponential equations with logarithms, including quadratic-form equations; building and using exponential growth, decay and half-life models.

Recommended learning path

  1. 1Index and Logarithm Laws
  2. 2Exponential Functions: Graphs, Equations and Models
  3. 311th Grade Logarithms and Exponential Equations Worksheet — Level 1
  4. 411th Grade Logarithms and Exponential Equations Worksheet — Level 2
  5. 511th Grade Logarithms and Exponential Equations Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Exponential Functions: Graphs, Equations and Models

    A senior math worksheet on exponential functions: features of the graphs of y = bˣ and their transformations (intercepts, asymptotes,…

    Difficulty
    Level 2 · Standard
    Time
    50 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 1

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Builds confidence with the core…

    Difficulty
    Level 1 · Easier
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 2

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. Expected-level practice for…

    Difficulty
    Level 2 · Standard
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included
  • Worksheet

    11th Grade Logarithms and Exponential Equations Worksheet — Level 3

    Convert between index and log form, evaluate logarithms, use the log laws and solve exponential equations. A challenge set for students…

    Difficulty
    Level 3 · Challenge
    Time
    15 min
    Questions
    12 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Index and Logarithm Laws

    A senior study guide that sets out the laws of exponents, the definition of a logarithm and the logarithm laws side by side. Worked…

    Difficulty
    Level 2 · Standard
    Time
    25 min

All exponentials & logarithms worksheets, every grade →

Common questions

What do 11th Grade students learn about exponentials & logarithms?

Exponential growth, log laws and solving log equations. At 11th Grade, our resources focus on: simplifying expressions using the laws of exponents, including fractional and negative exponents; converting between index form and logarithmic form; simplifying and expanding expressions using the logarithm laws; solving exponential and logarithmic equations, checking that solutions are in the domain.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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