Logarithm Rules Worksheet
A Grade 11 mathematics worksheet focusing on understanding and applying the fundamental rules of logarithms, including product, quotient, and power rules.
Includes
Standards
Logarithm Rules Practice
Name:
Date:
Score:
Read each question carefully and apply the appropriate logarithm rules to solve. Show all your work.
1. The Product Rule states that log_b(MN) = .
2. The Quotient Rule states that log_b(M/N) = .
3. The Power Rule states that log_b(M^p) = .
4. Which of the following is equivalent to log(x) + log(y)?
log(x/y)
log(x-y)
log(xy)
log(x+y)
5. Simplify the expression: 3 log_b(x)
log_b(3x)
log_b(x^3)
log_b(x+3)
x log_b(3)
6. Expand the expression: log_2(8x^3y)
7. Condense the expression: log(a) + 2log(b) - log(c)
8. log(x) + log(y) = log(x+y)
True
False
9. log_b(1) = 0 for any valid base b.
True
False
10. If log_5(x) = 2 and log_5(y) = 3, find the value of log_5(x^2y).
11. Solve for x: log_3(x) + log_3(x-2) = 1
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