Logarithm Laws Worksheet
A Grade 9 math worksheet covering the fundamental laws of logarithms, including product, quotient, and power rules, with various practice problems.
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Logarithm Laws Practice
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Read each question carefully and apply the appropriate logarithm laws to solve. Show all your work.
1. The Product Rule states that logb(MN) = .
2. The Quotient Rule states that logb(M/N) = .
3. The Power Rule states that logb(M^p) = .
4. logb(b) = .
5. logb(1) = .
Expand the following logarithmic expressions using the logarithm laws:
6. log(6xy)
7. log(a^2/b)
8. log(√(x))
Condense the following logarithmic expressions into a single logarithm:
9. log(x) + log(y) - log(z)
10. 2log(a) + 3log(b)
11. (1/2)log(m) - log(n)
12. Which of the following is equivalent to log(x^3)?
3log(x)
log(3x)
log(x) + log(3)
xlog(3)
13. Simplify: log(5) + log(2)
log(7)
log(10)
log(5/2)
log(3)
14. log(x) + log(y) = log(x+y)
True
False
15. log(x^p) = p * log(x)
True
False