Learn the basics for expanding and condensing a logarithmic equation

The teacher presents a problem involving logarithms, specifically log base 5 of 3X, and guides students through the process of expanding the expression using logarithm rules. The focus is on understanding how multiplication within the logarithm can be separated into a sum of two logarithms, demonstrating the application of logarithmic properties.

What is the initial expression given in the problem?

• log base 3 of 5X

• log base 5 of 3X

• log base 5 of X

• log base 3 of X

Which rule is applied to expand the logarithm expression?

• Division rule

• Multiplication rule

• Addition rule

• Subtraction rule

What operation separates the terms in the expression log base 5 of 3X?

• Subtraction

• Addition

• Multiplication

• Division

How is the expression log base 5 of 3X expanded?

• log base 5 of 3 + log base 5 of X

• log base 5 of 3 - log base 5 of X

• log base 5 of 3 / log base 5 of X

• log base 5 of 3 * log base 5 of X

What is the purpose of expanding the logarithm expression?

• To simplify the expression

• To solve the equation

• To apply the logarithm rules

• To find the value of X