Learn how to condense a two logarithmic expressions separated by subtraction

The video tutorial reviews the process of expanding expressions using the product or quotient rule and emphasizes the importance of moving exponents down. It then transitions to condensing logarithmic expressions by moving exponents up, using the power rule. Finally, the tutorial demonstrates applying the quotient rule to logarithms, specifically using log base three of 2 divided by X to the 4th.

What is the first step when expanding a logarithmic expression?

• Apply the power rule

• Bring the exponents up

• Use the product or quotient rule

• Simplify the expression

When condensing a logarithmic expression, what should be done with the exponents?

• Bring them down

• Ignore them

• Move them up

• Multiply them

Which rule is used to rewrite the expression log base three of two minus log base three of X to the 4th?

• Product rule

• Quotient rule

• Power rule

• Sum rule

What is the final expression after applying the quotient rule to log base three of 2 / X to the 4th?

• log base three of 2 times X to the 4th

• log base three of 2 plus X to the 4th

• log base three of 2 divided by X to the 4th

• log base three of 2 minus X to the 4th

Which rule is applied after moving the exponents up in a logarithmic expression?

• Quotient rule

• Difference rule

• Product rule

• Sum rule