# Worksheet: Logarithmic Equations with Different Bases

In this worksheet, we will practice solving logarithmic equations involving logarithms with different bases.

Q1:

Find the solution set of in .

• A
• B
• C
• D

Q2:

Find the solution set of in .

• A
• B
• C
• D

Q3:

Determine the solution set of the equation in .

• A
• B
• C
• D
• E

Q4:

Solve , where .

• A2
• B
• C
• D
• E4

Q5:

Determine the solution set of the equation in .

• A
• B
• C
• D

Q6:

Find the solution set of in .

• A
• B
• C
• D
• E

Q7:

Find the solution set of in .

• A
• B
• C
• D

Q8:

Find the solution set of in .

• A
• B
• C
• D
• E

Q9:

Find the solution set of in .

• A
• B
• C
• D

Q10:

Find the solution set of in .

• A
• B
• C
• D
• E

Q11:

Solve , where .

• A81
• B27
• C729
• D
• E

Q12:

Solve , where .

• A
• B
• C
• D
• E

Q13:

Solve , where .

Q14:

Solve , where .

• A
• B
• C
• D

Q15:

Solve , where .

• A or
• B or
• C or
• D or
• E or

Q16:

Solve , where .

Q17:

Find the solution set of in .

• A
• B
• C
• D