# Worksheet: Solving Exponential Equations Using Logarithms

In this worksheet, we will practice using logarithms to solve exponential equations.

**Q3: **

Solve for .

**Q4: **

Given that and , where is an integer, determine the value of .

**Q5: **

Find the value of for which . Give your answer to the nearest tenth.

**Q6: **

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

**Q7: **

Find all the values of in which satisfy .

- A
- B or
- C or
- D
- E or

**Q8: **

Determine the solution set of the equation in .

- A
- B
- C
- D
- E

**Q9: **

Given that , determine the value of .

**Q10: **

Find the solution set to the equation . Give your answer to three decimal places.

- A
- B
- C
- D

**Q11: **

Find the solution set of in .

- A
- B
- C
- D

**Q12: **

Given that , where , determine the value of .

**Q13: **

Find the solution set of in .

- A
- B
- C
- D
- E

**Q14: **

Find the solution set of in .

- A
- B
- C
- D

**Q15: **

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

**Q16: **

Use a calculator to find the value of for which . Give your answer correct to two decimal places.

**Q17: **

Find the value of for which . Give your answer to the nearest hundredth.

**Q18: **

Find the solution set of in .

- A
- B
- C
- D

**Q19: **

Solve for , giving your answer to three decimal places.

- A
- B
- C
- D
- E

**Q20: **

The variables , , , and are related by the formula , where , , and . Find .

**Q21: **

What is the -coordinate of the point where the graphs of and intersect?

**Q22: **

Determine the solution set of .

- A
- B
- C
- D
- E

**Q23: **

If , what is the value of ?

**Q24: **

Find the solution set of in .

- A
- B
- C
- D

**Q25: **

Find the solution set of .

- A
- B
- C
- D
- E