Why and how to the properties of logarithms work

In this video, Miss Mclogan explains the rules of logarithms, focusing on the addition of logarithms with the same base. She demonstrates this with an example using log base 2 of 4 and 32, showing how they multiply to log base 2 of 128. She then addresses a student's question about adding logarithms with different bases, illustrating the complications and why the same base is necessary for the rule to apply. The lesson concludes with a brief summary and final remarks.

What is the result of adding log base 2 of 4 and log base 2 of 32?

• log base 2 of 36

• log base 2 of 128

• log base 2 of 64

• log base 2 of 16

If you have log base 2 of 4, what is the exponent that gives you 4?

• 1

• 2

• 3

• 4

Why is it important for logarithms to have the same base when adding them?

• To avoid computational errors

• To make the logarithms equal

• To simplify the logarithms to a single base

• To ensure the arguments are multiplied correctly

What happens when you try to add log base 2 of 4 and log base 3 of 9?

• You can add them directly

• You multiply the bases

• You cannot apply the addition rule

• You get log base 5 of 13

What should you do if the bases of logarithms are different?

• Ignore the base difference

• Compute them individually

• Convert them to the same base

• Add them directly