# Lesson Worksheet: Properties of Logarithms Mathematics

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

**Q1: **

Determine the value of without using a calculator.

**Q2: **

Find the value of without using a calculator.

**Q3: **

Without using a calculator, find the approximate value of given that .

**Q4: **

Find the approximate value of , given that .

**Q5: **

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

**Q6: **

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

**Q7: **

Is it true that ?

- ANo
- BYes

**Q8: **

Find the value of without using a calculator.

**Q9: **

Find the value of in its simplest form.

**Q10: **

Is it true that ?

- ANo
- BYes