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Logarithm - Printable Mathematics Worksheets - Wayground

Logarithm

8 questions

11th - 12th Grade

Mathematics

This Grade 11–12 mathematics worksheet gives students eight fill-in-the-blank problems that ask them to evaluate logarithms without using a calculator. The set includes exact-value answers such as positive, zero, and negative results, helping students connect logarithmic notation with the exponent that produces a given value and recognize when a logarithm can be evaluated mentally. Use the worksheet for guided practice, independent work, homework, or a short check of exact-value logarithm skills. Students must supply each answer rather than select from choices, so the format checks whether they can produce the value themselves. This free printable worksheet includes a complete answer key for efficient review and grading, making it suitable for Algebra 2, precalculus, or other upper-secondary mathematics settings where students are developing fluency with logarithms.

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Logarithm

Total questions: 8

Name
Class
Date
1.

Evaluate the given logarithm without using a calculator.

log⁡216\log_216  

Answer: _

(a)  

2.

Evaluate the given logarithm without using a calculator.

log⁡381\log_381  

Answer: _

(a)  

3.

Evaluate the given logarithm without using a calculator.

log⁡5625\log_5625  

Answer: _

(a)  

4.

Evaluate the given logarithm without using a calculator.

log⁡0.52\log_{0.5}2  

Answer: _

(a)  

5.

Evaluate the given logarithm without using a calculator.

log⁡31\log_31  

Answer: _

(a)  

6.

Evaluate the given logarithm without using a calculator.

log⁡464\log_464  

Answer: _

(a)  

7.

Evaluate the given logarithm without using a calculator.

  log⁡32(132)\log_{32}\left(\frac{1}{32}\right)  

Answer: _

(a)  

8.

Evaluate the given logarithm without using a calculator.

log⁡7(149)\log_7\left(\frac{1}{49}\right)  

Answer: _

(a)  

WaygroundAnswer Key

Logarithm

Total questions: 8

1.
4
2.
4
3.
4
4.
-1
5.
0
6.
3
7.
-1
8.
-2

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FAQs

What does this logarithm worksheet cover?

This worksheet covers evaluating eight given logarithms exactly without using a calculator. Its fill-in-the-blank format requires students to produce each value themselves, including positive, zero, and negative results, which reinforces the connection between logarithms and exponents.

How can I use this worksheet to teach students to evaluate logarithms without a calculator?

Begin by reviewing logarithms as exponents and model how to identify the exponent represented by a given logarithm. Work through one or two examples aloud, asking students to explain the exponential relationship, then have them complete the eight fill-in-the-blank items independently. Use the answer key to discuss how students determined each exact value rather than relying on calculator approximations.

What mistakes should I watch for when students complete this logarithm worksheet?

Students may confuse the logarithm’s value with the number inside the logarithm or give the base instead of the exponent. They may also expect every answer to be positive, overlooking that this worksheet includes zero and negative results. Because each item specifically says not to use a calculator, check that students are using exact exponent reasoning rather than entering expressions for decimal approximations.

How do I assign and grade this logarithm worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key. For printable submissions, scan student work with the Wayground for Teachers app to grade responses efficiently. The printable format also supports classrooms that are reducing screen time.

How can I differentiate this logarithm worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the eight fill-in-the-blank logarithm items are easier to read and complete. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the mathematical directions.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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