# Worksheet: Properties of Logarithms

In this worksheet, we will practice using the product, quotient, and power rules of logarithms to evaluate expressions and solve equations.

**Q1: **

If is any positive, real number, which of the following is equal to ?

- A
- B
- C
- D

**Q2: **

Which of the following is equal to ?

- A
- B
- C
- D

**Q4: **

Find the value of without using a calculator.

**Q5: **

Find the value of without using a calculator.

**Q6: **

Is it true that ?

- Ano
- Byes

**Q7: **

Which of the following is equal to ?

- A
- B
- C
- D

**Q8: **

If , what is the value of ?

**Q9: **

Find the solution set of in .

- A
- B
- C
- D

**Q10: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q11: **

Calculate .

- A9
- B2
- C
- D
- E5

**Q12: **

Find the perimeter of the figure below.

**Q13: **

Determine the perimeter of the figure below.

**Q14: **

Simplify .

- A12
- B4
- C2
- D
- E5

**Q15: **

Find the value of without using a calculator.

**Q16: **

Find the value of .

**Q17: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q18: **

Find the solution set of in .

- A
- B
- C
- D

**Q19: **

Find the solution set of in .

- A
- B
- C
- D

**Q20: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q21: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q22: **

Find the solution set of in .

- A
- B
- C
- D
- E