# Worksheet: Laws of Logarithms

In this worksheet, we will practice using the laws of logarithms to simplify logarithmic expressions.

**Q4: **

Determine the value of without using a calculator.

- A
- B
- C3
- D
- E

**Q5: **

What is the value of ?

- A
- B
- C
- D
- E

**Q6: **

Without using a calculator, find the approximate value of given that .

**Q10: **

Given that , find the value of .

**Q11: **

Find .

**Q13: **

If , what interval contains ?

- A
- B
- C
- D
- E

**Q14: **

Given that and , round the value of without using a calculator.

**Q15: **

Find the value of correct to four decimal places.

**Q16: **

Find the value of without using a calculator.

**Q17: **

Find the value of , giving your answer in its simplest form.

**Q19: **

Calculate .

**Q20: **

Given that , evaluate .

**Q21: **

Find the value of in its simplest form.

**Q22: **

Simplify completely.

- A
- B
- C
- D
- E

**Q23: **

Evaluate .

**Q24: **

If is any real, positive number except 1, which of the following is equal to ?

- A1
- B
- C
- D

**Q25: **

Is it true that ?

- Ano
- Byes