Question

How can I turn this into a fraction...
(1-3x)^(3/x)

Answer 1

take the log first

Answer 2

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

Answer 3

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

Answer 4

yes it would

Answer 5

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

Answer 6

Ahh I see thanks so much! :D

Answer 7

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

Answer 8

yw

Answer 9

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

Answer 10

how'd i guess?

Answer 11

Smarty pants :P

Answer 12

lol