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Logarithm Rules Worksheet

A Grade 10 math worksheet focusing on applying the fundamental rules of logarithms, including product, quotient, and power rules, with practice problems.

Grade 10 Math LogarithmsLogarithm Rules
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Includes

Fill in the BlanksMultiple Choice3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSA.SSE.B.3.C

Topics

mathlogarithmsalgebragrade 10
8 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 simplify or expand the expressions. Show all your work.

1. The product rule of logarithms states that log₋(MN) =  .

2. The quotient rule of logarithms states that log₋(M/N) =  .

3. The power rule of logarithms states that log₋(Mᵏ) =  .

4. Which of the following is equivalent to log(xy)²?

a

2log(xy)

b

log(x²y²)

c

2logx + 2logy

d

All of the above

5. Expand log₂(8x³).

6. Expand ln(e⁴/y²).

7. Condense log(x) + 3log(y) - log(z).

8. Condense ½ ln(a) - 2 ln(b).

9. log(A+B) = logA + logB

T

True

F

False

10. If log₋(2) = 0.693 and log₋(3) = 1.099, find log₋(18) without using a calculator. Show your steps.