Logarithmic Properties Worksheet
This worksheet focuses on applying the fundamental properties of logarithms to simplify and evaluate expressions.
Includes
Standards
Logarithmic Properties
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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. logb(b) = .
5. logb(1) = .
6. Expand: log(5x^3y)
7. Expand: ln(√(x/yz))
8. Condense: 3logx + 2logy - logz
9. Condense: (1/2)ln(x) - 3ln(y) + ln(z)
10. Which of the following is equivalent to log₄(64)?
2
3
4
16
11. If log₅(x) = 2, what is the value of x?
7
10
25
32
12. log(A) + log(B) = log(A+B)
True
False
13. ln(e^x) = x
True
False