Condensing a basic logarithmic expression

The video tutorial explains how to condense multiple logarithms into a single logarithm using log base eight. It covers the process of rewriting logarithms by converting multiplication into addition and vice versa. The tutorial emphasizes that writing the variable times the number is equivalent to writing it as a product, and both methods are correct.

What is the main goal when condensing multiple logarithms?

• To change their base to 10

• To eliminate them completely

• To rewrite them as a single logarithm

• To separate them into different bases

How are multiplication and addition related in the context of logarithms?

• Addition is always greater than multiplication

• Addition can be rewritten as multiplication

• They are unrelated

• Multiplication is the inverse of addition

What happens when you separate logarithms by addition?

• They can be rewritten as a product

• They become subtracted

• They remain unchanged

• They are divided

When rewriting logarithmic expressions, what is the preferred notation for a variable times a number?

• log 8 of X + 10

• log 8 of 10 + X

• log 8 of 10X

• log 8 of X10

Why is it important to use the correct notation when writing logarithmic expressions?

• To ensure clarity and avoid errors

• To make the expression longer

• To change the base of the logarithm

• To confuse the reader