What math knowledge would I need to know to be able to isolate

>>8824040
Knowledge of the Lambert W function.

Alternatively, knowledge of wolframalpha.com:

http://www.wolframalpha.com/input/?i=b*t%2Bm*e%5E(-b*t%2Fm)%3Dc

>>8824040

You have a polynomial and exponential. That's a transcendent equation. Either expand the exponential in series up to second order, and use the quadratic formula, or you can solve the equation using graphical/numerical methods (a computer).

>>8824051
>>8824054
Thanks guys~

>>8824040
High school math

>>8824040

literally move bt to the RHS, divide by m, take the log and multiply by -m/b you brainlet

File: 1428269383673.jpg (101KB, 540x960px) Image search: [Google]

101KB, 540x960px

>>8824220
>brainlet

>>8824220
kek

File: circumface.jpg (30KB, 306x306px) Image search: [Google]

30KB, 306x306px

>>8824220
you'll still have a t stuck in the log

>>8824220
wew

>>8824040
Take log on both sides and then you can isolate for t

>>8824040
There's no closed form way of doing this. Assume [math] 0 < t < 1 [/math] then linearise. Set [eqn] \frac { y b^2 + m^2 g } { m g } := \alpha [/eqn]Then [eqn] bt + m e^ { - \frac { b } { m } t } \approx bt + m \left ( 1 - \frac { bt } { m } \right ) = \alpha [/eqn] You could also expand to second order and treat it as a quadratic equation.