Logarithmic Properties Worksheet
A Grade 9 math worksheet focusing on the properties of logarithms, including product, quotient, and power rules.
Includes
Standards
Topics
Logarithmic Properties Practice
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Read each question carefully and apply the properties of logarithms to simplify or solve.
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. The Change of Base Formula states that log_b(M) = .
5. Which of the following is equivalent to log(x) + log(y)?
log(x/y)
log(x-y)
log(xy)
log(x+y)
6. Simplify: 3 log_b(x)
log_b(3x)
log_b(x^3)
log_b(x) + 3
log_b(3) * log_b(x)
7. Expand the expression: log(a^2 * b^3)
8. Condense the expression: ln(x) - ln(y) + 2 ln(z)
9. log_b(1) = 0 for any valid base b.
True
False
10. log_b(b) = 1 for any valid base b.
True
False
11. log(x+y) = log(x) * log(y).
True
False
12. If log_3(x) = 5, what is the value of x?
13. Solve for x: log_2(x) + log_2(4) = log_2(20)