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Logarithm Rules Worksheet

A Grade 11 mathematics worksheet focusing on understanding and applying the fundamental rules of logarithms, including product, quotient, and power rules.

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Grade 11 Math LogarithmsLogarithm Rules
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.B.5
7 sections · Free to use · Printable
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Logarithm Rules Practice

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Date:

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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)?

a

log(x/y)

b

log(x-y)

c

log(xy)

d

log(x+y)

5. Simplify the expression: 3 log_b(x)

a

log_b(3x)

b

log_b(x^3)

c

log_b(x+3)

d

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)

T

True

F

False

9. log_b(1) = 0 for any valid base b.

T

True

F

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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