I would say it's impossible without using an approximation You might be able to use the Lambert W function here.
But I can't say for sure. You gave us an expression, not an equation. Could you show us the whole problem?
-Dan
Hi everyone. I'm hoping this is the right board to post to, if not please direct me to where I need to be.
Long story short, I had a long crazy equation, and I needed to isolate the variable t so I can shove it into a second equation. I did a lot of work on it, but I've hit a wall now. What is the next step?? Here's the side of the equation I'm doing the work on:
t(1 + 2exp(6-t) + exp(16-(6t/5) )
Any help or suggestions would be very greatly appreciated!
I would say it's impossible without using an approximation You might be able to use the Lambert W function here.
But I can't say for sure. You gave us an expression, not an equation. Could you show us the whole problem?
-Dan
Your first problem is that this is NOT an equation- there is no way to "solve" just an expression.
Since you choose NOT to tell us what the original problem is, or give us anything helpful, there simply is no way to respond.Any help or suggestions would be very greatly appreciated!
Ah sorry I guess I got tunnel vision working on it. The original equation was:
S = ([1/(1+exp(10-t/5)) + 1 - 1/(1+exp(6-t))]Lt ) / (V+1-(1/V))
Which I worked around to get to:
t(1 + 2exp(6-t) + exp(16-(6t/5) ) = (S(V+1-(1/V))) / L