Logarithmic Properties Worksheet
This worksheet focuses on understanding and applying the fundamental properties of logarithms for Grade 11 mathematics students.
Includes
Standards
Logarithmic Properties Practice
Name:
Date:
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Read each question carefully and apply the appropriate logarithmic properties 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 rewrite logb(M) as .
1. Expand the expression: log(5x³y)
2. Expand the expression: ln(√(a/b))
1. Condense the expression: 3log x + 2log y - log z
2. Condense the expression: ½ln(x) - 3ln(y) + ln(z)
1. Which of the following is equivalent to log₄(64)?
2
3
4
16
2. If logb(x) = 2 and logb(y) = 3, what is logb(x²y)?
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8
9
10
1. Evaluate log₃(81).
2. Evaluate log(1000).
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