Rewriting a logarithmic expression using multiple terms

The video tutorial explains how to expand logarithmic expressions using properties of logarithms. It covers the multiplication property, which allows the separation of a product inside a logarithm into the addition of two logs with the same base. The tutorial also discusses the power property, which enables bringing down an exponent as a multiplier in front of the logarithm. The final expression is simplified using these properties.

What is the result of applying the first property of logarithms to log base B of (X * Y)?

• log base B of X + log base B of Y

• log base B of (X - Y)

• log base B of (X + Y)

• log base B of X * log base B of Y

When separating log base three of (X * (y - 4)), why is it important to treat (y - 4) as a single unit?

• Because (y - 4) is a constant

• Because (y - 4) is an expression

• Because (y - 4) is a variable

• Because (y - 4) is a coefficient

How can log base three of X squared be rewritten using the second property of logarithms?

• log base three of (X + X)

• log base three of X + log base three of X

• log base three of (X * X)

• 2 * log base three of X

What is the final expression after applying both properties of logarithms to log base three of (X * (y - 4)^2)?

• log base three of X + log base three of (y - 4)^2

• log base three of X + 2 * log base three of (y - 4)

• log base three of X * log base three of (y - 4)^2

• log base three of X + log base three of (y - 4)

Which property of logarithms allows you to bring the exponent in front as a multiplier?

• Power Property

• Quotient Property

• Change of Base Property

• Product Property