Math tutorial for expanding logarithms

The video tutorial explains how to expand logarithms by separating them using division and applying the power rule. It starts with an introduction to the concept of expanding logarithms, followed by rewriting them using division. The tutorial then demonstrates how to apply the power rule to simplify the expression further, leading to the final expression of the logarithm.

What is the first step in expanding a logarithmic expression that involves division?

• Combine the terms using addition.

• Divide the terms by a constant.

• Multiply the terms together.

• Separate the terms using subtraction.

How can you rewrite a logarithmic expression that is separated by division?

• As a difference of logarithms.

• As a sum of logarithms.

• As a product of logarithms.

• As a quotient of logarithms.

What property of logarithms allows you to separate terms raised to a power?

• Power Rule

• Quotient Rule

• Product Rule

• Change of Base Formula

When applying the power rule, what happens to the exponent of a term in a logarithm?

• It becomes the base of the logarithm.

• It is added to the logarithm.

• It is multiplied by the logarithm.

• It is subtracted from the logarithm.

In the expression log base two of X to the 4th minus log base two of Y^3, what is the coefficient of log base two of Y after applying the power rule?

• 2

• 4

• 1

• 3