Worksheet: Laws of Logarithms
In this worksheet, we will practice using the laws of logarithms to simplify logarithmic expressions.
Determine the value of without using a calculator.
What is the value of ?
Without using a calculator, find the approximate value of given that .
Given that , find the value of .
If , what interval contains ?
Given that and , round the value of without using a calculator.
Find the value of correct to four decimal places.
Find the value of without using a calculator.
Find the value of , giving your answer in its simplest form.
Given that , evaluate .
Find the value of in its simplest form.
If is any real, positive number except 1, which of the following is equal to ?
Is it true that ?