In this worksheet, we will practice expressing an exponential equation in logarithmic form, and vice versa, and how to evaluate logarithms with various bases.

**Q2: **

What is the value of ?

- A1
- B
- C8
- D2
- E4

**Q3: **

Find .

**Q4: **

If , what is the value of ?

- A8
- B
- C
- D
- E

**Q5: **

Find the solution set of the equation in .

- A
- B
- C
- D

**Q6: **

Find the solution set of the equation in .

- A
- B
- C
- D
- E

**Q7: **

Find the value of correct to 4 decimal places.

**Q8: **

Use a calculator to find the number of digits of the number .

**Q9: **

Triangle is right-angled at . Find its area, given that and .

**Q10: **

Find the values of and respectively.

- A1 , 2
- B3, 1
- C1 , 1
- D3, 2
- E2, 2

**Q11: **

Use a calculator to find the value of . Give your answer correct to four decimal places.

**Q12: **

Since , what can we conclude about ?

- A is less than 2.
- B is more than .
- C is more than 1.
- D is less than .
- E is less than .

**Q13: **

Find the value of correct to 4 decimal places.

**Q14: **

Given that and , find the value of . Give your answer correct to four decimal places.

**Q15: **

Given that , evaluate .

**Q16: **

Simplify .

- A2
- B
- C10
- D

**Q17: **

Find the value of the number shown with the dot on the given logarithmic scale. Round your answer to the nearest thousandth.

**Q18: **

What is the value of ?

- A
- B
- C5
- D
- E

**Q19: **

What is the value of ?

**Q20: **

What is the value of ?

- A
- B
- C12
- D
- E