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
Extra practice for 12th Grade Logarithms and Exponential Equations Worksheet — Level 3: the same skill with fresh questions.
Worksheet12th GradeLevel 3 · Challenge
Free 12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4
Practice Set 4 for 12th Grade Logarithms and Exponential Equations Worksheet — Level 3: the same skill and level with a fresh set of questions and a full answer sheet.
More practice: Set 1 · Practice Set 2 · Practice Set 3 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Grade
- 12th Grade
- Subject
- Math
- Topic
- Exponentials & Logarithms
- Difficulty
- Level 3 · Challenge
- Estimated time
- 15 minutes
- Curriculum
- Texas grade levels (TEKS)
- Questions
- 12
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practice
- converting between index and logarithm form
- evaluating logarithms
- solving exponential equations
Curriculum: Texas grade levels (TEKS). We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: 12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4
How to use this worksheet
- Print the PDF or complete it on screen. Write the student's name and date at the top.
- Read the instructions for each part together before starting. Encourage working to be shown, not just answers.
- Mark with the answer sheet. Compare the method, not only the final answer, and give credit for correct working.
- Record the score, celebrate what went well, then follow the "What's next" suggestion.
Common questions
Who is this worksheet for?
12th Grade students (typically ages 17–18) working on exponentials & logarithms. It is pitched at level 3 · challenge; an easier version is linked above.
Are the answers included?
Yes. The PDF includes a full answer sheet with the working for every question. You can also view the answers online.
How long does it take?
About 15 minutes for 12 questions. Short, regular sessions work best: two or three a week beats one long one.
Do I need to sign up to download?
No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.
What should we do next?
Try Geometric Series in Action: Finance, Growth and Limiting Sums.
Preview
Success TutoringWorksheets12th Grade · Mathematics · Exponentials & Logarithms12th Grade Logarithms and Exponential Equations Worksheet — Level 3 — Practice Set 4
Name
Date
Score /
logₐ y = x means ax = y. Log laws: log a + log b = log ab; log a − log b = log (a ÷ b); log aⁿ = n log a.
1.Write as a single logarithm: log 27 − log 9 (answer space)
2.Write as a single logarithm: log 24 − log 6 (answer space)
3.Solve: 33x − 3 = 729
4.Evaluate log₃ 81. (answer space)
5.Evaluate log₂ 4. (answer space)
6.Write as a single logarithm: log 12 − log 3 (answer space)
7.Solve: 52x + 2 = 15625
8.Write as a single logarithm: log 4 + log 9 (answer space)
9.Evaluate log₅ . (answer space)
10.Write as a single logarithm: log 30 − log 5 (answer space)
11.Solve: 10x + 3 = 10
12.Evaluate log₂ 8. (answer space)
Preview — the PDF contains the full resource and answer sheet.
More 12th Grade exponentials & logarithms resources
- 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
Exponentials & Logarithms in other year levels
- Exponential Functions: Graphs, Equations and Models
Worksheet · 11th Grade · Exponentials & Logarithms · Level 2 · Standard
- 11th Grade Logarithms and Exponential Equations Worksheet — Level 1
Worksheet · 11th Grade · Exponentials & Logarithms · Level 1 · Easier
- 10th Grade Logarithms and Exponential Equations Worksheet — Level 1
Worksheet · 10th Grade · Exponentials & Logarithms · Level 1 · Easier
- 10th Grade Logarithms and Exponential Equations Worksheet — Level 2
Worksheet · 10th Grade · Exponentials & Logarithms · Level 2 · Standard
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About this resource
- Created by
- Success Tutoring Maths Team
- Reviewed by
- Success Tutoring
- Last reviewed
- 1 October 2026
- How it was made
- Generated by checked procedures
Free to print and share for personal, classroom and homeschool use. Please don't resell. Spotted an error? Let us know.