Grade 11 Properties of Logarithms Worksheet with Answers
Grade 11 (US) · Year 12 (UK) · Class 11 (India) · Math
Unit 4: Exponential & Logarithmic FunctionsLogarithmsCCSS F-LE.A.4
Using the product, quotient and power rules to expand, condense and evaluate logarithms. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Properties of Logarithms
Grade 11 · Math
Name
Class
Date
Learning goal: Logarithms · CCSS F-LE.A.4
Directions: Solve each problem. Show your work, then write your answer in the box.
Evaluate: log_2 4
Answer: 2
RememberExponentials and logarithms
- 1
Evaluate: log 100 + log 10
Answer - 2
Write as a single logarithm: 2log x - log y
Answer - 3
Evaluate: log_5 25 + log_5 25
Answer - 4
Write as a single logarithm: 4log x - log y
Answer - 5
Evaluate: log_3 81 + log_3 9
Answer - 6
Expand: log_5 (x^4y)
Answer - 7
Write as a single logarithm: 4log_3 x - log_3 y
Answer - 8
Write as a single logarithm: 3log_5 x - log_5 y
Answer - 9
Evaluate: log_5 21875 - log_5 875
Answer - 10
Evaluate: log_5 4375 - log_5 175
Answer - 11
Evaluate: log 1000 + log 10
Answer - 12
Write as a single logarithm: 4log_5 x - log_5 y
Answer
★ Challenge corner for fast finishers
The sum of 5 consecutive integers is 70. What is the largest of them?
How did I do?
Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/11/log_properties
Answer key — Properties of Logarithms (Grade 11)
- 1.3
- 2.log (x^2/y)
- 3.4
- 4.log (x^4/y)
- 5.6
- 6.4log_5 x + log_5 y
- 7.log_3 (x^4/y)
- 8.log_5 (x^3/y)
- 9.2
- 10.2
- 11.4
- 12.log_5 (x^4/y)
- ★16
Answer key (click to show)
- 1.3
- 2.log (x^2/y)
- 3.4
- 4.log (x^4/y)
- 5.6
- 6.4log_5 x + log_5 y
- 7.log_3 (x^4/y)
- 8.log_5 (x^3/y)
- 9.2
- 10.2
- 11.4
- 12.log_5 (x^4/y)
- ★16 (challenge corner)
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