## anonymous one year ago How can I turn this into a fraction... (1-3x)^(3/x)

1. anonymous

take the log first

2. anonymous

would that become $(\frac{ 3 }{ x })\ln(1-3x)$

3. anonymous

or else use the definition $(1-3x)^{\frac{3}{x}}=\exp\left(\frac{3\log(1-3x)}{x}\right)$ the work will be identical in either case

4. anonymous

yes it would

5. anonymous

then use l'hopital , then whatever you get for the limit, raise e to that power

6. anonymous

Ahh I see thanks so much! :D

7. anonymous

actually now that i look, it doesn't say that this is a limit question, but i am almost certain it is right?

8. anonymous

yw

9. anonymous

Haha yep! It is :D one of the l'hopital rule limits xP

10. anonymous

how'd i guess?

11. anonymous

Smarty pants :P

12. anonymous

lol