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http://www.uni-regensburg.de/Fakultaeten/nat_Fak_IV/Organische_Chemie/Didaktik/Keusch/Grafik/ord1-6.gif

get turned into this:

[itex][A] = [A]_{0}*e^{-kt}[/itex]?

When I try to derive it, I first get this:

[itex]ln[A] - ln[A]_{0} = -kt[/itex].

Then I isolate ln[A] and get:

[itex]ln[A] = ln[A]_{0} - kt[/itex]

then I reverse the ln on both sides of the equation and get:

[itex][A] = [A]_{0} - e^{-kt}[/itex].

I don't understand how the two terms end up multiplied rather than subtracted.