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Grade 12 Properties of Logarithms Worksheet with Answers
Grade 12 (US) · Year 13 (UK) · Class 12 (India) · Math
Unit 3: Functions ReviewLogs, Series & Complex NumbersCCSS 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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Practice Sheetaethelsystems.comProperties of Logarithms
Grade 12 · Math
Name
Class
Date
Learning goal: Logs, Series & Complex Numbers · CCSS F-LE.A.4
Directions: Solve each problem. Show your work, then write your answer in the box.
Evaluate: log 1000
Answer: 3
RememberExponentials and logarithms
- 1
Write as a single logarithm: 4log_3 x - log_3 y
Answer - 2
Expand: log_3 (x^3y)
Answer - 3
Expand: log (x^3y)
Answer - 4
Evaluate: log_5 125 + log_5 125
Answer - 5
Write as a single logarithm: 2log_3 x - log_3 y
Answer - 6
Evaluate: log_5 625 + log_5 25
Answer - 7
Evaluate: log_5 109375 - log_5 175
Answer - 8
Evaluate: log_2 8 + log_2 2
Answer - 9
Evaluate: log 100 + log 100
Answer - 10
Write as a single logarithm: 3log_5 x - log_5 y
Answer - 11
Evaluate: log 1000 + log 100
Answer - 12
Write as a single logarithm: 4log x - log y
Answer
★ Challenge corner for fast finishers
How many 3-digit numbers can be made from the digits 1 to 4 if no digit is repeated?
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Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/12/log_properties
Answer key — Properties of Logarithms (Grade 12)
- 1.log_3 (x^4/y)
- 2.3log_3 x + log_3 y
- 3.3log x + log y
- 4.6
- 5.log_3 (x^2/y)
- 6.6
- 7.4
- 8.4
- 9.4
- 10.log_5 (x^3/y)
- 11.5
- 12.log (x^4/y)
- ★24
Answer key (click to show)
- 1.log_3 (x^4/y)
- 2.3log_3 x + log_3 y
- 3.3log x + log y
- 4.6
- 5.log_3 (x^2/y)
- 6.6
- 7.4
- 8.4
- 9.4
- 10.log_5 (x^3/y)
- 11.5
- 12.log (x^4/y)
- ★24 (challenge corner)
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