Natural Logs Functions

[thelazyman]

Dont really know how this equals to one, tried doing it didnt work out for me


y= e^ln(x)

Thanks

 

[stapel]

Did your pre-calculus algebra course not cover logarithms...? If not, I'm sure we can try to find some online lessons which will cover the concepts sufficiently to explain why e^ln(x) equals 1.

Please let us know. Thank you.

Eliz.

 

[thelazyman]

Please someone just answer it, have a test tommorow, need to know

 

[pka]

Here is a big hint: \(\displaystyle y = e^{\ln (x)} \quad \Rightarrow \quad y' = \frac{{e^{\ln (x)} }}{x}\)

 

[stapel]

Please someone just answer it

So the other tutors (who aren't answering you any more) were correct? You just want a listing of the answers?

Okay: I'll start by assuming you've typoed the exercise, and that you're actually supposed to say why the function is the same as "y = x". The answer is:

. . . . . e^ln(x) = x "by nature of logarithms and their bases."

Eliz.

 

[pka]

Actually: e^ln(x)≠1

 

[tkhunny]

I think you mean y' = 1.

Another Hint: \(\displaystyle f(f^{-1}(x)) = x\)