# Worksheet: Logarithmic Equations with Like Bases

In this worksheet, we will practice solving logarithmic equations with like bases using the laws of exponents and logarithms.

**Q3: **

Solve the equation , where .

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- D
- E

**Q5: **

Solve , where .

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- D

**Q6: **

Find the solution set of in .

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- D
- E

**Q7: **

Determine the solution set of the equation in .

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- E

**Q8: **

What is the solution set of the equation ?

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- D

**Q9: **

Find the solution set of in .

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**Q10: **

Find the solution set of in .

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- D

**Q11: **

Determine the solution set of the equation in .

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- D

**Q12: **

Find the solution set of in .

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- E

**Q13: **

Find the solution set of in .

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- E

**Q14: **

Solve , where .

- A6
- B1
- C
- D

**Q15: **

Solve , where .

**Q16: **

Determine the solution set of the equation in .

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- B
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- D

**Q17: **

Solve the equation , where .

- A30
- B7
- C10
- D
- E175

**Q18: **

If , what is the value of ?

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- B6
- C
- D36

**Q19: **

Determine the solution set of in .

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- D

**Q20: **

Find the value of for which .

**Q21: **

Find the solution set of in .

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- D
- E

**Q22: **

Find the solution set of in .

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- D

**Q23: **

Given that , determine the value of .

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**Q24: **

Find the solution set of in .

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- D
- E

**Q25: **

Find the value of for which .

- A
- B
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- D8
- E