Hello hopefully someone can assist me. It's been many years since I left university and my maths skills have gone rusty?. I've been trying to figure this out myself all day and just don't seem to be able to crack it. I'm sure I'm just missing some rule that I need to apply to be able to get it to work. (Probably using logs. I never liked logs
)
I want to rearrange this equation to be able to solve for x
[math]y=\frac{I_{0}+\left(i_{i}\cdot x_{i}-I_{0}\right)\cdot2^{\frac{x_{i}-x}{d}}}{x}[/math]in my specific case
[math]i_{i}=0.2 \\ I_{0} = .025 \\ x_{i}=.7 \\ d = .05[/math]but I'd like general solution that I can adjust these parameters if needed.
At the below link you can see various iterations representing the same equation and a graph of the curve in case any of them help someone point me towards a solution. I tried manipulating to simplify it as much as possible but sometimes I think I'm just complicating it even more and I'm still left scratching my head and failing to isolate x.
[math]y=\frac{a+b\cdot2^{\frac{c-x}{d}}}{x}[/math]https://www.desmos.com/calculator/iuhbhogyol
Any help is greatly appreciated.
)I want to rearrange this equation to be able to solve for x
[math]y=\frac{I_{0}+\left(i_{i}\cdot x_{i}-I_{0}\right)\cdot2^{\frac{x_{i}-x}{d}}}{x}[/math]in my specific case
[math]i_{i}=0.2 \\ I_{0} = .025 \\ x_{i}=.7 \\ d = .05[/math]but I'd like general solution that I can adjust these parameters if needed.
At the below link you can see various iterations representing the same equation and a graph of the curve in case any of them help someone point me towards a solution. I tried manipulating to simplify it as much as possible but sometimes I think I'm just complicating it even more and I'm still left scratching my head and failing to isolate x.
[math]y=\frac{a+b\cdot2^{\frac{c-x}{d}}}{x}[/math]https://www.desmos.com/calculator/iuhbhogyol
Any help is greatly appreciated.
