Logarithmic Equations Worksheet

Solve and understand logarithmic equations with this comprehensive worksheet for Grade 9 students.

Grade 9 Math LogarithmsLogarithmic Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSF.LE.A.4

7 sections · Free to use · Printable

Logarithmic Equations

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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:

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