Study Guide
Index and Logarithm Laws
An HSC/VCE-style study guide that sets out the index laws, the definition of a logarithm and the logarithm laws side by side. Worked…
- Difficulty
- Level 2 · Standard
- Time
- 25 min
WorksheetYear 11Level 1 · Easier
Free Year 11 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 skill before adding complexity. This Year 11 worksheet has 12 questions and comes with a full answer sheet showing the working for every question.
Need more practice? Practice Set 2 · Practice Set 3 · Practice Set 4 — same skill, fresh questions, full answers.
Instant download · No sign-up · Free for personal, classroom and homeschool use
- Year
- Year 11
- Subject
- Maths
- Topic
- Exponentials & Logarithms
- Difficulty
- Level 1 · Easier
- Estimated time
- 15 minutes
- Curriculum
- Australian Curriculum
- Questions
- 12
- Answers
- Included, with working
- Format
- PDF (A4), print or complete online
Students will practise
- converting between index and logarithm form
- evaluating logarithms
- using the log laws
Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
What's next?
Completed: Year 11 Logarithms and Exponential Equations Worksheet — Level 1
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?
Year 11 students (typically ages 16–17) working on exponentials & logarithms. It is pitched at level 1 · easier; a harder 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 Year 11 Logarithms and Exponential Equations Worksheet — Level 2.
Preview
Success TutoringWorksheetsYear 11 · Mathematics · Exponentials & LogarithmsYear 11 Logarithms and Exponential Equations Worksheet — Level 1
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 104 = 10000 in logarithm form. (answer space)
2.Write 54 = 625 in logarithm form. (answer space)
3.Evaluate log₃ 9. (answer space)
4.Write 27 = 128 in logarithm form. (answer space)
5.Write 31 = 3 in logarithm form. (answer space)
6.Evaluate log₁₀ 10. (answer space)
7.Write 51 = 5 in logarithm form. (answer space)
8.Evaluate log₅ 5. (answer space)
9.Evaluate log₅ 625. (answer space)
10.Write 52 = 25 in logarithm form. (answer space)
11.Write 22 = 4 in logarithm form. (answer space)
12.Write 34 = 81 in logarithm form. (answer space)
Preview — the PDF contains the full resource and answer sheet.
More Year 11 exponentials & logarithms resources
- Worksheet
Exponential Functions: Graphs, Equations and Models
A senior maths 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
Year 11 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
Year 11 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
- Year 10 Logarithms and Exponential Equations Worksheet — Level 1
Worksheet · Year 10 · Exponentials & Logarithms · Level 1 · Easier
- Year 10 Logarithms and Exponential Equations Worksheet — Level 2
Worksheet · Year 10 · Exponentials & Logarithms · Level 2 · Standard
- Year 12 Logarithms and Exponential Equations Worksheet — Level 1
Worksheet · Year 12 · Exponentials & Logarithms · Level 1 · Easier
- Year 12 Logarithms and Exponential Equations Worksheet — Level 2
Worksheet · Year 12 · 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.