## anonymous 5 years ago how do you expand ln (x^5/2y) ?

1. anonymous

x.x.x.x.x/2y you mean expanded form?

2. anonymous

yes

You can use the rule of logarithms -- specifically, that division turns into subtraction: $\ln{\frac{x^5}{2y}} = \ln x^5 - \ln 2y$

4. anonymous

and that's it?

I believe, but it depends on what `expand' means :) That's fairly typical, though.

6. anonymous

thanx a lot you rule!

8. anonymous

one more step. $5ln(x)-ln(2y)$ $2ln(x)-ln(y)-ln(2)$

9. anonymous

typo in the last one. should be $ln(\frac{x^5}{2y})=5ln(x)-ln(y)-ln(2)$