Exploring Properties of e and Natural Logarithms

What does 'Ln' stand for in natural logarithms?

• Logarithm naturalis

• None of the above

• Natural logarithm

• Logarithm number

What is the base of natural logarithms?

• 10

• 2

• e

• 1

If you have Ln(e^x), what does it simplify to?

• e

• x

• 1

• 0

What property allows you to move the exponent to the front in logarithms?

• Quotient rule

• Product rule

• Power rule

• Base rule

What does e to the power of Ln(x) simplify to?

• Ln(x)

• 1

• e

• x

How can you simplify Ln(e^(7x))?

• 7

• 7x

• e

• x

What result do you get when simplifying e^(Ln(x^3))?

• 3x

• x^3

• x

• 3

What is the simplified form of Ln(e^(x-1))?

• x-1

• 1-x

• e

• x

If you have 2 * Ln(e^x), what does it simplify to?

• 2x

• 2

• x

• e

What is the value of e commonly approximated as?

• 1.73

• 1.41

• 2.71

• 3.14