Grade 10 Logarithmic Equations Worksheet

Logarithmic Equations Practice

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)?

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

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

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

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

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