# Worksheet: Solving Exponential Equations Using Logarithms

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

**Q5: **

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

**Q7: **

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

**Q8: **

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

**Q9: **

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

**Q10: **

Solve for , giving your answer to three decimal places.

- A
- B
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- E

**Q11: **

Solve for , giving your answer to three decimal places.

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- B
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- E

**Q12: **

Estimate the solution of to one decimal place, given that and .

**Q13: **

Solve for , giving your answer to three decimal places.

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- B
- C
- D
- E

**Q14: **

Solve for , giving your answer to three decimal places.

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- B
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- D
- E

**Q16: **

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

**Q17: **

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

**Q18: **

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

**Q19: **

Find the solution set of .

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- B
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- E

**Q20: **

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

**Q23: **

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