How to use the properties of logs to expand an expression

The video tutorial explains how to use the properties of logarithms to expand expressions. It covers the basic properties of logs, such as splitting logs of multiplied terms into sums and handling division by converting it into subtraction. The tutorial demonstrates expanding a rational expression and a multiplicative expression using these properties, emphasizing the placement of exponents in front of the log. The video concludes with a practical example of expanding a log expression with multiplication.

What is the result of expanding the logarithm of a product, log(XY)?

• log(XY)

• log(X) * log(Y)

• log(X) - log(Y)

• log(X) + log(Y)

How can you expand log(A/B) using logarithmic properties?

• log(A) + log(B)

• log(A) - log(B)

• log(A/B)

• log(A) * log(B)

When expanding log(sqrt(A)), what property allows you to bring the exponent in front of the log?

• Power Rule

• Quotient Rule

• Product Rule

• Change of Base Formula

What is the expanded form of log base 3 of 10Z?

• log base 3 of 10 + log base 3 of Z

• log base 3 of 10 - log base 3 of Z

• log base 3 of (10Z)

• log base 3 of 10 * log base 3 of Z

Which property is used to expand log base 3 of 10Z?

• Product Rule

• Quotient Rule

• Power Rule

• Change of Base Formula