Question

Can someone describe the relationship between the graph of f(x)=lnx and g(x)=e^x?

Answer 1

Did you graph them?

Answer 2

I don't want to use a calculator to do it, but I guess I might as well go ahead and do it. I just wanted to see if I can focus on key similarities and differences between the two without needing to resort to a calculator.

Answer 3

Well, those there are inverses of each other.

Answer 4

That is what they are looking for.

Answer 5

y=e^x
try solving for x. you get
x=ln(x)

Answer 6

Well, did you already know they were inverses?

Answer 7

i mean x=ln(y)

Answer 8

Okay.
Oh! I feel like a total idiot. I didn't even notice that or think to even do that.

Answer 9

Cause if you know that, then you know how they're related. But if you didn't know that then it's interesting to see how inverses are related.

Answer 10

I'm completely stressing about this test and I'm not looking at the big picture, I'm just trying to make things harder than they are.

Answer 11

:D It gets easier. When you are in calculus you will just get stuff like that in a snap. Of course, by that time you won't get homework about it... oh, the irony...

Answer 12

Haha! Well, I'm at the end of my class, and I'm trying to brush up for the AP test...

Answer 13

What class?

Answer 14

alma, did you know e^x is the inverse of ln(x)?

Answer 15

Not in the beginning, but he/she figured it out.

Answer 16

Yes. I did and I just realized that I knew that. I was just trying to memorize properties which I don't need to because they are simply inverses.

Answer 17

If you know that two functions are inverses, then they will be mirror images of eachother around the line y=x. That's how the two graphs are related.

Answer 18

properties of the graph. Thank you all for your help.