Exploring Properties of Logarithms: Expanding and Condensing

What does the product rule in logarithms state about multiplication inside the log?

• It remains multiplication in both forms.

• It turns into subtraction when expanded.

• It turns into addition when expanded.

• It is not applicable to logarithms.

How does the quotient rule affect division inside a logarithm when expanded?

• It converts division into multiplication.

• It remains as division in the expanded form.

• It converts division into addition.

• It converts division into subtraction.

What is the result of applying the quotient rule to log base X of M divided by N?

• log base X of M / log base X of N

• log base X of M + log base X of N

• log base X of M * log base X of N

• log base X of M - log base X of N

What happens to an exponent in a logarithm according to the power rule when expanded?

• It converts into a base of the logarithm.

• It moves in front of the log, turning into multiplication.

• It is removed from the logarithm.

• It remains inside the log as an exponent.

According to the power rule, how is log base X of M to the power of N written in its expanded form?

• log base X of M + N

• log base X of M / N

• log base X of M * N

• N * log base X of M

In the process of expanding logarithms, what mathematical operation does multiplication inside the log convert to?

• Multiplication

• Addition

• Division

• Subtraction

When expanding log base 5 of 2X, what is the correct representation?

• log base 5 of 2 - log base 5 of X

• log base 5 of 2 / log base 5 of X

• log base 5 of 2 + log base 5 of X

• log base 5 of 2X

What does the expansion of log base 3 of X times Y times Z look like?

• log base 3 of X / log base 3 of Y / log base 3 of Z

• log base 3 of XYZ

• log base 3 of X - log base 3 of Y - log base 3 of Z

• log base 3 of X + log base 3 of Y + log base 3 of Z

When condensing logarithms, what does addition between two logarithms convert into?

• Subtraction

• Remains as addition

• Multiplication

• Division

How do you condense log base 2 of 4 + log base 2 of X?

• log base 2 of 4 - X

• log base 2 of 4X

• log base 2 of 4 + X

• log base 2 of 4 / X