Expanding Logarithms and Their Properties

What is the base of the logarithm discussed in the video?

• 3

• 5

• 7

• 10

What mathematical operation does the power property of logarithms deal with?

• Exponentiation

• Addition

• Subtraction

• Multiplication

What is the effect of moving an exponent to the front of the log according to the power property?

• It adds to the log

• It subtracts from the log

• It multiplies the log

• It divides the log

In the quotient property of logarithms, what operation is used to separate the terms?

• Multiplication

• Subtraction

• Division

• Addition

How is the expression simplified after applying the quotient property?

• By adding logs

• By subtracting logs

• By multiplying logs

• By dividing logs

Which property of logarithms is used to separate multiplication inside the log?

• Quotient property

• Product property

• Power property

• Identity property

What does the product property allow you to do with the logarithmic terms?

• Separate them using subtraction

• Combine them using addition

• Separate them using addition

• Combine them using multiplication

What does the final expression involve after applying the power property for the second time?

• A cube root

• A square root

• An exponent of 3

• An exponent of 2

After all properties are applied, what operation is performed across all terms in the expression?

• Addition

• Subtraction

• Multiplication

• Division

What is the final operation performed to complete the expansion of the logarithm?

• Adding all terms

• Dividing a factor across all terms

• Subtracting all terms

• Multiplying a factor across all terms