Grade 10 Logarithmic Equations Worksheet

This worksheet provides practice problems for solving logarithmic equations, covering various techniques and properties of logarithms suitable for a Grade 10 math curriculum.

Grade 10 Math LogarithmsLogarithmic Equations

Use This Worksheet

Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.B.5CCSS.MATH.CONTENT.HSF.LE.A.4

Topics

mathlogarithmsequationsalgebragrade 10

7 sections · Free to use · Printable

← More Math worksheets for Grade 10

Logarithmic Equations Practice

Name:

Date:

Score:

Solve each logarithmic equation. Remember to check for extraneous solutions.

1. Solve for x: log₂(x) = 4

2. Solve for x: log₃(x + 5) = 2

3. If log(x) + log(x - 3) = 1, then x = .

4. The solution to log₂(x + 2) - log₂(x - 1) = 2 is x = .

5. Which of the following is the solution to ln(2x) = ln(x + 5)?

x = 0

x = 5

x = -5

No solution

6. What is the value of x in the equation log(x) + log(2) = log(10)?

x = 5

x = 8

x = 12

x = 20

7. The equation log(x - 1) = log(x) has a solution.

True

False

8. The domain of log(x - 3) requires x > 3.

True

False

9. Solve for x: log₂(x) + log₂(x - 7) = 3

10. Solve for x: ln(x) + ln(x + 3) = ln(10)