# Worksheet: The Properties of Logarithms

Q1:

If is any positive, real number, which of the following is equal to ?

• A
• B
• C
• D

Q2:

Is it true that ?

• Ano
• Byes

Q3:

Which of the following is equal to ?

• A
• B
• C
• D

Q4:

Which of the following is equal to ?

• A
• B
• C
• D

Q5:

Find the value of without using a calculator.

Q6:

Find the value of without using a calculator.

Q7:

If , what is the value of ?

Q8:

If , what is the value of ?

Q9:

If , what is the value of ?

Q10:

Find the value of without using a calculator.

Q11:

Find the solution set of in .

• A
• B
• C
• D

Q12:

Find the solution set of in .

• A
• B
• C
• D
• E

Q13:

Which of the following is equal to ?

• A
• B
• C
• D
• E

Q14:

Calculate .

• A9
• B2
• C
• D
• E5

Q15:

Find the perimeter of the figure below.

Q16:

Determine the perimeter of the figure below.

Q17:

Simplify .

• A12
• B4
• C2
• D
• E5

Q18:

Find the value of without using a calculator.

Q19:

Find the value of .

Q20:

Find the solution set of in .

• A
• B
• C
• D
• E

Q21:

Find the solution set of in .

• A
• B
• C
• D

Q22:

Find the solution set of in .

• A
• B
• C
• D

Q23:

Find the solution set of in .

• A
• B
• C
• D
• E

Q24:

Find the solution set of in .

• A
• B
• C
• D
• E

Q25:

Find the solution set of in .

• A
• B
• C
• D
• E

Q26:

Given that and , find in terms of and .

• A
• B
• C
• D
• E

Q27:

Given that , what is the value of ?

• A
• B
• C
• D
• E

Q28:

Find the value of without using a calculator.

Q29:

Simplify .

• A3
• B1
• C
• D2
• E8