How do you explain how the natural log and exponential function are related?

Question

I'm supposed to also discuss their graphs and list all their properties (like domain and range). HELP PLEASE!!!!

Answer 1

exponential function = e^x

natural log = ln(x) or log(of base e) (x)

When you think of natural log...you should think...what power do I have to raise e to to get x

When you think of exponential function you should thing e raised to the x power equals what?

They are basically inverses of each other...so the graphs look exactly opposite of each other.  The exponential function grows extremely fast while the natural log function grows extremely slow.

Answer 2

There is a great web site

explaining this the best way

I've ever seen it done.

Check it out.

purplemath.com

and search for logarithms

Answer 3

They are the inverses of each other. The graphs are inverses as well. One function will "undo" the other.