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Mathematics 78 Online
OpenStudy (anonymous):

-ln x = t/T + C how do i simplify?

OpenStudy (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 \[x= Ae ^{-t/T}\]

OpenStudy (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 )

OpenStudy (anonymous):

Thank you!!

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