Overview of properties of logarithms using multiplication

The video tutorial explains the multiplication property of logarithms, demonstrating how to expand logarithms using this property. It provides examples with base 2 and evaluates the results to verify the property. The tutorial also covers handling logarithms with different bases, including base 10 and natural logarithms with base e.

What is the logarithm property that allows the expansion of a product into a sum?

• Logarithm of a quotient

• Logarithm of a power

• Logarithm of a product

• Logarithm of a root

In the example provided, what is the expanded form of log base 2 of 32?

• log base 2 of 8 + log base 2 of 4

• log base 2 of 4 + log base 2 of 8

• log base 2 of 1 + log base 2 of 32

• log base 2 of 2 + log base 2 of 16

What is the value of log base 2 of 8?

• 5

• 4

• 3

• 2

If no base is specified for a logarithm, what base is assumed?

• Base 2

• Base 1

• Base 10

• Base e

What base is used for natural logarithms?

• Base 2

• Base e

• Base 10

• Base 5