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Free 12th Grade Exponentials & Logarithms Worksheets

4 free exponentials & logarithms resources for 12th Grade: 3 worksheets, 1 study guide. Answers included.

Exponential growth, log laws and solving log equations. In 12th Grade, Calculus, probability distributions and financial math feature in advanced courses; English demands polished essays under time pressure.

Students will practice: finding the constant k in N = N₀eᵏᵗ from two data points; predicting a quantity at a later time and finding the time to reach a given value; calculating half-life, doubling time and the rate of change dN/dt = kN; converting between the forms N = N₀aᵗ and N = N₀eᵏᵗ; converting between index and logarithm form; evaluating logarithms; using the log laws; solving exponential equations.

Recommended learning path

  1. 1Exponential Growth and Decay
  2. 212th Grade Logarithms and Exponential Equations Worksheet — Level 1
  3. 312th Grade Logarithms and Exponential Equations Worksheet — Level 2
  4. 412th Grade Logarithms and Exponential Equations Worksheet — Level 3
Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    12th 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

    12th 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

    12th 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

    Exponential Growth and Decay

    A senior study guide to the model N = N₀eᵏᵗ: finding k from data, predicting future values, half-life and doubling time, the rate of…

    Difficulty
    Level 3 · Challenge
    Time
    30 min

All exponentials & logarithms worksheets, every grade →

Common questions

What do 12th Grade students learn about exponentials & logarithms?

Exponential growth, log laws and solving log equations. At 12th Grade, our resources focus on: finding the constant k in N = N₀eᵏᵗ from two data points; predicting a quantity at a later time and finding the time to reach a given value; calculating half-life, doubling time and the rate of change dN/dt = kN; converting between the forms N = N₀aᵗ and N = N₀eᵏᵗ.

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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