# 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.

Q1:

Determine the solution set of the equation in .

• A
• B
• C
• D
• E

Q2:

Find such that .

• A26
• B
• C24
• D

Q3:

Solve the equation , where .

• A
• B
• C
• D
• E

Q4:

Find the solution set of in .

• A
• B
• C
• D
• E

Q5:

Solve , where .

• A
• B
• C
• D

Q6:

Find the solution set of in .

• A
• B
• C
• D
• E

Q7:

Determine the solution set of the equation in .

• A
• B
• C
• D
• E

Q8:

What is the solution set of the equation ?

• A
• B
• C
• D

Q9:

Find the solution set of in .

• A
• B
• C
• D
• E

Q10:

Find the solution set of in .

• A
• B
• C
• D

Q11:

Determine the solution set of the equation in .

• A
• B
• C
• D

Q12:

Find the solution set of in .

• A
• B
• C
• D
• E

Q13:

Find the solution set of in .

• A
• B
• C
• D
• E

Q14:

Solve , where .

• A6
• B1
• C
• D

Q15:

Solve , where .

Q16:

Determine the solution set of the equation in .

• A
• B
• C
• D

Q17:

Solve the equation , where .

• A30
• B7
• C10
• D
• E175

Q18:

If , what is the value of ?

• A
• B6
• C
• D36

Q19:

Determine the solution set of in .

• A
• B
• C
• D

Q20:

Find the value of for which .

Q21:

Find the solution set of in .

• A
• B
• C
• D
• E

Q22:

Find the solution set of in .

• A
• B
• C
• D

Q23:

Given that , determine the value of .

• A
• B
• C
• D
• E

Q24:

Find the solution set of in .

• A
• B
• C
• D
• E

Q25:

Find the value of for which .

• A
• B
• C
• D8
• E