Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

In this lesson, we will learn how to evaluate logarithms of different bases using laws of logarithms.

Q1:

What is the value of l o g 0 . 2 5 ?

Q2:

Find the value of l o g 2 4 √ 2 5 6 , giving your answer in its simplest form.

Q3:

What is the value of l o g √ 5 1 1 2 5 √ 5 ?

Q4:

What is the value of l o g √ 2 3 2 √ 2 ?

Q5:

What is the value of l o g √ 3 2 4 3 √ 3 ?

Q6:

What is the value of l o g 2 8 ?

Q7:

What is the value of l o g 4 6 4 ?

Q8:

What is the value of l o g 2 2 ?

Q9:

What is the value of l o g 2 2 5 6 ?

Q10:

What is the value of l o g 2 1 1 2 8 ?

Q11:

What is the value of l o g 5 1 ?

Q12:

What is the value of l o g 4 1 1 6 ?

Q13:

Find the value of l o g l o g l o g l o g 2 3 2 2 4 𝑥 − 𝑥 .

Q14:

Given that 𝐿 and 𝑀 are the two roots of the equation 𝑥 − 3 6 𝑥 + 1 2 8 = 0 2 , determine the value of l o g l o g 2 2 𝐿 + 𝑀 .

Q15:

What is the value of l o g 1 2 1 2 8 ?

Q16:

What is the value of l o g 1 3 8 1 ?

Q17:

What is the value of l o g 1 3 2 4 3 ?

Q18:

What is the value of l o g 1 2 2 ?

Q19:

Calculate 2 4 + 7 1 3 l o g l o g , giving your answer to the nearest thousandth.

Don’t have an account? Sign Up