Logarithmic Equations Worksheet
Solve and understand logarithmic equations with this comprehensive worksheet for Grade 9 students.
Includes
Standards
Logarithmic Equations
Name:
Date:
Score:
Read each question carefully and solve for the unknown variable. Show all your work for full credit.
1. Solve for x: log₂(x) = 3
2. Solve for x: log₅(25) = x
3. The logarithmic equation log₃(81) = 4 can be written in exponential form as .
4. The exponential equation 5² = 25 can be written in logarithmic form as .
5. Which of the following is equivalent to log(a) + log(b)?
log(a + b)
log(ab)
log(a - b)
log(a / b)
6. If log₂(x - 1) = 4, then x is equal to:
5
9
16
17
7. Solve for x: log(x) + log(x - 3) = 1 (Assume base 10)
8. Solve for x: ln(x + 2) - ln(x) = ln(3)
9. The domain of log(x) is all real numbers.
True
False
10. If log_b(x) = y, then b^y = x.
True
False
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