Question

simplify.
2-2ln(2)

Answer 1

4e^(-2ln(2)/3)=4e^((-ln(2^2)/3) [u know, rlna=ln(a^r) ]
=4e^((-ln(4))/3) = 4*(e^(-ln4))^(1/3) = 4*(e^(ln(1/4)))^(1/3)
=4*(1/4)^(1/3) [b/c e^lna = a]
=4^(2/3)
This is the most simplified expression.
Now are you ok with it?

source: http://answers.yahoo.com/question/index?qid=20081119170931AAEsaTw

Answer 2

that really makes no sense to me

Answer 3

Ok, I'll try to help.

Answer 4

We have a couple of laws for simplifying logarithms.

Answer 5

Namely, log(xy)=log x +log y

Answer 6

log(x/y)=log y- log x

Answer 7

These apply to any base.

Answer 8

okay, but there's only one value in the ln function

Answer 9

i don't know how else to simplify this except writing it out as 1 natural log.
the problem, as given, is basically simplified.