# Worksheet: Logarithmic Equations with Different Bases

In this worksheet, we will practice solving logarithmic equations involving logarithms with different bases.

**Q2: **

Select the expression equal to

- A
- B
- C
- D

**Q4: **

Determine the solution set of the equation in .

- A
- B
- C
- D
- E

**Q5: **

Solve , where .

- A
- B4
- C2
- D
- E

**Q6: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q7: **

Determine the solution set of the equation . Give the values correct to two decimal places, if necessary.

- A
- B
- C
- D
- E

**Q8: **

Find the solution set of in .

- A
- B
- C
- D

**Q9: **

Solve , where .

- A
- B
- C
- D
- E

**Q10: **

Determine the solution set of the equation in .

- A
- B
- C
- D

**Q11: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q12: **

Find the solution set of in .

- A
- B
- C
- D

**Q13: **

Determine the solution set of the equation in .

- A
- B
- C
- D
- E

**Q14: **

Find all possible values of for which .

- A32
- B8 or
- C8
- D4 or
- E12 or

**Q15: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q16: **

Find the solution set of in .

- A
- B
- C
- D

**Q20: **

Solve , where .

- A27
- B
- C81
- D729
- E