Math tutorial for expanding a logarithmic expression

The video tutorial explains the application of the product rule and power rule in logarithms. It begins by discussing how terms separated by multiplication can be split using the product rule. A third rule is introduced, emphasizing the addition of logarithms. The power rule is then explained, showing how to handle terms raised to a power. The tutorial concludes with a final answer and simplification process, highlighting the importance of understanding these rules in logarithms.

What rule allows the separation of terms by multiplication into the addition of logarithms?

• Quotient Rule

• Product Rule

• Power Rule

• Chain Rule

When using the power rule in logarithms, what operation is performed with the exponent?

• It is added to the logarithm

• It is subtracted from the logarithm

• It is divided by the logarithm

• It is multiplied in front of the logarithm

Which of the following is an example of using the power rule in logarithms?

• log base 3 of X / Y

• log base 3 of X^2 becomes 2 * log base 3 of X

• log base 3 of (2 * X)

• log base 3 of (X + Y)

How can log base 2 of 8 be simplified?

• 2 raised to the power of 3

• 2 raised to the power of 4

• 2 raised to the power of 2

• 2 raised to the power of 1

What should be done if a logarithm does not simplify easily?

• Convert it to a different base

• Add a constant

• Leave it as is

• Multiply by a constant