Inverse function / Linearize equation

[guiismiti]

Hello,

I need to linearize the following equation

y = a * ((exp(-b * x)) + (c * (1 - (exp(-b * x)))))

Where a, b and c are constants.

I have experimental points that fit to this equation and I want to use these values in the inverse funtion to linearize it.

I have tried to use a few tools available online, but the output functions did not work, which made me think if it is actually possible to do it.


Can anybody help me?
Thanks in advance.

 

[Deleted member 4993]

Hello,

I need to linearize the following equation

y = a * ((exp(-b * x)) + (c * (1 - (exp(-b * x)))))

Where a, b and c are constants.

I have experimental points that fit to this equation and I want to use these values in the inverse funtion to linearize it.

I have tried to use a few tools available online, but the output functions did not work, which made me think if it is actually possible to do it.


Can anybody help me?
Thanks in advance.

y = a * ((exp(-b * x)) + (c * (1 - (exp(-b * x)))))

y = (a-c) * ((exp(-b * x)) + c substitute

u = (exp(-b * x)

then:

y = (a - c)*u + c ........... linearized