Property of logarithm

1. Nov 26, 2011

Nano-Passion

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:

$$y = x^{2/x}$$
$$ln y = ln x^{2/x}$$
$$ln y = \frac{2}{x} x$$

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

Last edited: Nov 26, 2011
2. Nov 26, 2011

iRaid

Doesn't: $$ln y = \frac{2}{x} x$$ just make it 2 :p

But from what I remember about logs, yes you can do that..

3. Nov 26, 2011

gb7nash

The OP might have already figured this out, but $ln x^{2/x} = \frac{2 ln(x)}{x}$, not $\frac{2}{x}x$. Typo maybe?

4. Nov 26, 2011

Nano-Passion

Yep, it was a typo.