what does t equal
2e^(3t) = 400
e^(3t) = 200
3t = ln 200
t = (ln 200)/3
I think this might be :
2e ^(3t) = 400 divide both sides by 2
e^(3t) = 200 take the Ln of both sides
Ln e^(3t) = Ln 200 and we can write
(3t) Ln e = Ln 200 Ln e = 1 so we can ignore this
3t = Ln 200 divide both sides by 3
t = Ln 200 / 3 ≈ 1.766
