# Worksheet: Evaluating Logarithms

In this worksheet, we will practice evaluating logarithms of different bases using laws of logarithms.

Q1:

Find the value of , giving your answer in its simplest form.

• A
• B2
• C4
• D8

Q2:

What is the value of ?

Q3:

What is the value of ?

Q4:

What is the value of ?

Q5:

What is the value of ?

Q6:

What is the value of ?

Q7:

What is the value of ?

Q8:

Find the value of .

Q9:

Given that and are the two roots of the equation , determine the value of .

Q10:

Q11:

What is the value of ?

Q12:

What is the value of ?

Q13:

What is the value of ?

Q14:

What is the value of ?

Q15:

What is the value of ?

Q16:

What is the value of ?

Q17:

What is the value of ?

Q18:

What is the value of ?

Q19:

What is the value of ?

Q20:

What is the value of ?

• A5
• B
• C
• D
• E

Q21:

Find the value of the number shown with the dot on the given logarithmic scale. Round your answer to the nearest thousandth. Q22:

Find .

Q23:

What is the value of ?

• A3
• B
• C
• D
• E

Q24:

Find the value of correct to 4 decimal places.

Q25:

What is the value of ?