## anonymous 5 years ago -ln x = t/T + C how do i simplify?

1. anonymous

$\ln (x) = - ( t/T +C )$$x= e ^{-t/T +C}$$x= e ^{-t/T}e ^{C}$ Now let e^C =A ( it is just a constant ) so $x= Ae ^{-t/T}$

2. anonymous

edit: the second line should be :$e ^{-t/T}e ^{-C}$ but nevertheless e^(-C) is still a positive constant and can be replaced by "A" ( another constant )

3. anonymous

Thank you!!