Understanding Natural Logarithms

What is the primary difference between a logarithm and a natural logarithm?

• A logarithm is always positive, while a natural logarithm can be negative.

• A logarithm is used for addition, while a natural logarithm is used for multiplication.

• A logarithm is a type of natural logarithm.

• A logarithm has a base of 10, while a natural logarithm has a base of e.

What is the approximate value of the natural exponent 'e'?

• 2.7182

• 1.618

• 3.14

• 0.577

How does the graph of a positive natural logarithm appear?

• It is a circle.

• It is a straight line.

• It forms a U-shape.

• It resembles a boomerang in the first and fourth quadrants.

What happens to the graph of a natural logarithm when it is negative?

• It shifts to the left.

• It flips across the x-axis.

• It becomes a straight line.

• It disappears.

In the Desmos demonstration, what color represents the graph of a positive natural logarithm?

• Blue

• Green

• Yellow

• Red