Pre-Calculus - Using the Properties of Logs to Simplify an Expression

The video tutorial explains the fundamental properties of logarithms, such as L of one equals zero and L of E equals one. It then demonstrates how to simplify logarithmic expressions by rewriting them, specifically focusing on expressions involving the natural logarithm (Ln) and the base E. The tutorial concludes by applying these properties and rules to solve logarithmic equations, emphasizing the relationship between the natural logarithm and its base.

What is the natural logarithm of 1?

• Undefined

• e

• 0

• 1

Which of the following is true about the natural logarithm of e?

• It is equal to 0

• It is undefined

• It is equal to 1

• It is equal to e

How can the expression e/1 be rewritten using natural logarithms?

• Ln(e^1)

• Ln(e^0)

• Ln(1/e)

• Ln(e^-1)

What is the result of Ln(e^x) according to the properties of logarithms?

• x

• e

• 1

• 0

What is the simplified result of the expression e raised to the power of -1?

• e

• 0

• -1

• 1