\(0,02*e^{0,5t+0,5}-0,02e^{0,5t} = 1,5|*50\)
\(e^{0,5t+0,5}-e^{0,5t} =75\)
\(e^{0,5}*e^{0,5t}-e^{0,5t} =75\)
\(e^{0,5t}*(e^{0,5}-1) =75\)
\(e^{0,5t} =\frac{75}{(e^{0,5}-1)}\)
\(0,5t*lne =ln( \frac{75}{e^{0,5}-1} )\) \(ln e =1\)
\(0,5t =ln( \frac{75}{e^{0,5}-1} )\)
\(t =2*ln( \frac{75}{e^{0,5}-1} )\)