# Worksheet: Exponential Equations with Like Bases

In this worksheet, we will practice solving exponential equations by forming alike bases.

**Q1: **

Given that , find the value of .

**Q4: **

Find the solution set of .

- A
- B
- C
- D

**Q5: **

Given that , find the value of correct to the nearest hundredth.

**Q6: **

Find the solution set of in .

- A
- B
- C
- D

**Q7: **

Find the solution set of the equation in .

- A
- B
- C
- D

**Q10: **

Given that and , find the value of and the value of .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q11: **

Find the value of for which .

**Q12: **

Given that , find the value of .

**Q13: **

Given that , find the value of .

**Q14: **

Determine the solution set of .

- A
- B
- C
- D
- E

**Q15: **

Determine the solution set of .

- A
- B
- C
- D
- E

**Q18: **

Find the value of for which .

**Q19: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q20: **

Given that , what are the possible value of ?

- A
- B2
- C0
- D

**Q21: **

Determine the solution set of .

- A
- B
- C
- D

**Q22: **

Given that , find the value of .

**Q23: **

Find the value of for which .

**Q24: **

Solve .

**Q25: **

Find all the values of which satisfy .

- A2
- B2 or 0
- C or 0
- D or 0