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.
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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?
2log(xy)
log(x²y²)
2logx + 2logy
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
True
False
10. If log₋(2) = 0.693 and log₋(3) = 1.099, find log₋(18) without using a calculator. Show your steps.
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