Logarithm Laws Practice Worksheet
Reinforce understanding and application of logarithm laws with this Grade 11 math worksheet.
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Logarithm Laws Practice
Name:
Date:
Score:
Read each question carefully and apply the appropriate logarithm laws to solve. Show all your work.
1. The product rule for logarithms states that logb(MN) = .
2. The quotient rule for logarithms states that logb(M/N) = .
3. The power rule for logarithms states that logb(M^p) = .
4. The change of base formula allows us to write logb(M) as .
5. Expand the expression: log₃(5x/y²)
6. Expand the expression: ln(√(ab))
7. Condense the expression: 3log(x) + 2log(y) - log(z)
8. Condense the expression: ½ln(a) - 4ln(b)
9. Which of the following is equivalent to log₂(8) + log₂(4)?
log₂(12)
log₂(32)
log₂(2)
log₂(4)
10. If logb(x) = 3 and logb(y) = 5, what is logb(x²y)?
11
13
15
32
11. log(A/B) = log(A) - log(B)
True
False
12. log(A + B) = log(A) * log(B)
True
False
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