Expanding and Combining Logarithms: Key Concepts

What happens to a product inside a logarithm according to its properties?

• It remains unchanged.

• It is divided into separate logarithms.

• It is converted into addition of separate logarithms.

• It is converted into subtraction of separate logarithms.

How is a division inside a logarithm treated according to logarithm properties?

• It is converted into subtraction of separate logarithms.

• It is multiplied into separate logarithms.

• It remains unchanged.

• It is converted into addition of separate logarithms.

What can be done with the exponent of a logarithm according to its properties?

• It is ignored.

• It is added to the base of the logarithm.

• It is moved in front of the logarithm as a multiplier.

• It is divided into separate logarithms.

What property allows you to pull the exponent in front of the logarithm?

• Exponent property

• Division property

• Multiplication property

• Addition property

When expanding log base 3 of x times y over z, what is the first step?

• Combine everything into a single logarithm.

• Separate the multiplication into addition.

• Separate the division into subtraction.

• Ignore the base and focus on the variables.

After handling the division in a logarithm, what is the next step for multiplication?

• Multiply the logarithms together.

• Separate the multiplication into addition of separate logarithms.

• Separate them into subtraction.

• Combine them into a single logarithm.

In the process of expanding logarithms, what does multiplication inside the logarithm become?

• Division of separate logarithms

• Subtraction of separate logarithms

• Multiplication of separate logarithms

• Addition of separate logarithms

What is the final step in expanding log base 3 of x times y over z?

• Ignore the last term.

• Separate the last term into addition.

• Combine all terms into a single logarithm.

• Rewrite the last term without changes.

What is the correct sequence of steps for expanding logarithms?

• Handle division, then multiplication, and finally exponents.

• Handle exponents, then division, and finally multiplication.

• Handle exponents, then multiplication, and finally division.

• Handle multiplication, then division, and finally exponents.

How do you combine logarithms into a single logarithm?

• By reversing the expansion process.

• By adding all the logarithms together.

• By multiplying all the logarithms together.

• By dividing all the logarithms.