# Worksheet: Properties of Logarithms

In this worksheet, we will practice using the product, quotient, and power rules of logarithms to evaluate expressions and solve equations.

Q1:

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

• A
• B
• C
• D

Q2:

Which of the following is equal to ?

• A
• B
• C
• D

Q3:

If , what is the value of ?

Q4:

Find the value of without using a calculator.

Q5:

Find the value of without using a calculator.

Q6:

Is it true that ?

• Ano
• Byes

Q7:

Which of the following is equal to ?

• A
• B
• C
• D

Q8:

If , what is the value of ?

Q9:

Find the solution set of in .

• A
• B
• C
• D

Q10:

Find the solution set of in .

• A
• B
• C
• D
• E

Q11:

Calculate .

• A9
• B2
• C
• D
• E5

Q12:

Find the perimeter of the figure below.

Q13:

Determine the perimeter of the figure below.

Q14:

Simplify .

• A12
• B4
• C2
• D
• E5

Q15:

Find the value of without using a calculator.

Q16:

Find the value of .

Q17:

Find the solution set of in .

• A
• B
• C
• D
• E

Q18:

Find the solution set of in .

• A
• B
• C
• D

Q19:

Find the solution set of in .

• A
• B
• C
• D

Q20:

Find the solution set of in .

• A
• B
• C
• D
• E

Q21:

Find the solution set of in .

• A
• B
• C
• D
• E

Q22:

Find the solution set of in .

• A
• B
• C
• D
• E

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