# Worksheet: Evaluating Logarithms

In this worksheet, we will practice evaluating logarithms of different bases using laws of logarithms.

**Q3: **

What is the value of ?

**Q4: **

What is the value of ?

**Q5: **

What is the value of ?

**Q7: **

What is the value of ?

**Q8: **

Find the value of .

**Q9: **

Given that and are the two roots of the equation , determine the value of .

**Q10: **

Calculate , giving your answer to the nearest thousandth.

**Q12: **

What is the value of ?

**Q13: **

What is the value of ?

**Q14: **

What is the value of ?

**Q15: **

What is the value of ?

**Q16: **

What is the value of ?

**Q17: **

What is the value of ?

**Q18: **

What is the value of ?

**Q19: **

What is the value of ?

**Q20: **

What is the value of ?

- A5
- B
- C
- D
- E

**Q22: **

Find .

**Q23: **

What is the value of ?

- A3
- B
- C
- D
- E

**Q24: **

Find the value of correct to 4 decimal places.

**Q25: **

What is the value of ?