Solving Logarithmic Equations with Properties of Logs

What is the first step in solving logarithmic equations?

• Condense the logarithm

• Isolate the logarithm

• Apply the product rule

• Exponentiate both sides

What property allows the cancellation of the base and the logarithm?

• Quotient rule

• Inverse property

• Product rule

• One-to-one property

What is the result of exponentiating both sides of a logarithmic equation?

• A quadratic equation

• Isolation of the variable

• Application of the quotient rule

• Cancellation of the logarithm

When solving ln(2x) = 4, what base is used for exponentiation?

• Base 4

• Base 10

• Base 2

• Base e

What is the correct base for exponentiating both sides of an equation involving a natural log?

• Base e

• Base 10

• Base 2

• Base 4

What rule is applied to condense logarithmic terms before exponentiating?

• Product rule

• Quotient rule

• One-to-one property

• Inverse property

What does the domain of a logarithmic function exclude?

• Zero

• Positive numbers

• Negative numbers

• Irrational numbers

How do you solve a quadratic equation obtained from a logarithmic equation?

• By factoring

• By isolating the logarithm

• By applying the quotient rule

• By exponentiating both sides

When condensing a logarithmic expression, what mathematical operation does the product rule correspond to?

• Addition

• Subtraction

• Multiplication

• Division

Which property is used when logarithms of the same base appear on both sides of an equation?

• Product rule

• Quotient rule

• One-to-one property

• Inverse property