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Properties of Logarithms — Easy Worksheet 2
Grade 11 · MathSheets Name: ____________________ Date: __________
Use the properties of logarithms.
How to solve
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Example
Fill in the blank: log2(16m) = ___ + log2(m)
Answer: 4
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log2(y32) = log2(y) - ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log5(y5) = log5(y) - ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log3(x9) = log3(x) - ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log2(y2) = ___ · log2(y)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log3(y9) = log3(y) - ___
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log5(x3) = ___ · log5(x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log5(x5) = ___ · log5(x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Properties of Logarithms
Product rule: logb(MN) = logb(M) + logb(N). Quotient rule: logb(M/N) = logb(M) - logb(N). Power rule: logb(Mk) = k·logb(M). Combine or split the logs, then use logb(bk) = k.
Try a similar one
Fill in the blank: log3(27x) = ___ + log3(x)
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Properties of Logarithms — Easy Worksheet 2
Use the properties of logarithms.