Lesson Worksheet: Properties of Logarithms Mathematics

Start Practising

In this worksheet, we will practice simplifying expressions using the properties of logarithms.

Q1:

Determine the value of logloglog7100−5623+2523 without using a calculator.

Q2:

Find the value of logloglogloglog132+142+16−12−64 without using a calculator.

Q3:

Without using a calculator, find the approximate value of log5243 given that log5≈1.465.

Q4:

Find the approximate value of log20, given that log5≈1.161.

Q5:

Given that log3≈0.5646, find, without using a calculator, the value of log147 correct to four decimal places.

Q6:

Find the value of loglogloglog512×729×256×27, giving your answer in its simplest form.

Q7:

Is it true that log0=1?

  • ANo
  • BYes

Q8:

Find the value of logloglog10+16−5 without using a calculator.

Q9:

Find the value of 225+12+18+72−80loglogloglog in its simplest form.

Q10:

Is it true that logloglog(𝑥+𝑦)=𝑥+𝑦?

  • ANo
  • BYes

Practice Means Progress

Boost your grades with free daily practice questions. Download Nagwa Practice today!

scan me!

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