Math tutorial for expanding a logarithmic expression across multiplication

The video tutorial covers the rules of exponents and how they apply to logarithms. It explains how to rewrite expressions using logarithms by separating multiplication into addition. The tutorial also delves into understanding what logarithms represent, using log base two of eight as an example to illustrate the concept of logarithms and their meaning.

What is the result of applying the rule of exponents to log base two of 8 * X?

• log base two of 8 - log base two of X

• log base two of 8 / log base two of X

• log base two of 8 * log base two of X

• log base two of 8 + log base two of X

When rewriting logarithmic expressions, what operation is used to separate terms that are multiplied?

• Subtraction

• Division

• Addition

• Exponentiation

What does log base two of eight represent?

• The difference between 8 and 2

• The number of times 8 is multiplied by itself to get 2

• The sum of 2 and 8

• The power to which 2 must be raised to get 8

How can you express log base two of 8 in terms of powers?

• 8 raised to the power of 2

• 2 raised to the power of 3

• 2 raised to the power of 8

• 8 raised to the power of 3

Which of the following is true about logarithms?

• They are always negative

• They represent the sum of two numbers

• They indicate the power to which a base number is raised to produce another number

• They are used to divide numbers