solving equation with natural log

Apr 2008
204
5
i need to solve this equation:
\(\displaystyle e^{-2.3t} = 0.454 - 0.1638t\)

how do i do this?! i tried to use \(\displaystyle ln\) but i keep going around in circles?!?!
 
May 2010
24
5
i need to solve this equation:
\(\displaystyle e^{-2.3t} = 0.454 - 0.1638t\)

how do i do this?! i tried to use \(\displaystyle ln\) but i keep going around in circles?!?!

This is an implicit equation. That is why you keep going round in circles.
You need to study Ordinary Differential Equations to deal with the above equation.