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Property of logarithm

  • #1
1,291
0
Edit: I answered my own question, I guess this thread serves no purpose so mods, you can delete this.

y = x^2
ln y = ln x^2
ln y = 2 ln x

Can we do the same thing with:

[tex] y = x^{2/x}[/tex]
[tex] ln y = ln x^{2/x} [/tex]
[tex] ln y = \frac{2}{x} x[/tex]

Would that be correct? I just want to make sure because I used this technique for differentiation.
 
Last edited:

Answers and Replies

  • #2
559
8
Doesn't: [tex] ln y = \frac{2}{x} x[/tex] just make it 2 :p

But from what I remember about logs, yes you can do that..
 
  • #3
gb7nash
Homework Helper
805
1
The OP might have already figured this out, but [itex]ln x^{2/x} = \frac{2 ln(x)}{x}[/itex], not [itex]\frac{2}{x}x[/itex]. Typo maybe?
 
  • #4
1,291
0
The OP might have already figured this out, but [itex]ln x^{2/x} = \frac{2 ln(x)}{x}[/itex], not [itex]\frac{2}{x}x[/itex]. Typo maybe?
Yep, it was a typo.
 

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