How Do I Solve a Logarithmic Equation with Parameters and Find the Value of x?

[abra]

Hi everyone. I'm new in the forum and I'd need an help to solve this equation (sorry, I think it's quite easy but I'm not an expert of mathematics..):

a*x + b*ln(x) = c

where a, b, c are parameters and I need to find the value of x.

Do I need to use techniques of differential equations?

Thanks a lot for any help.

 

[TenaliRaman]

You need to use Numerical Techniques.
Have u come across Newton Raphson method ? It should do just fine on this one.

-- AI

 

[abra]

No, I've never used the Newton Raphson method.. thanks, i'll have a look to this technique, however, I suppose I need to use some maths softwares to compute the result, isn't it?

 

[Gokul43201]

No. Any scientific calculator will work. You could also use Excel, if you choose.

Hopefully, you won't have to go through too many iterations.

 

[HallsofIvy]

There is also the "Lambert's W" function. It is defined specifically as "W(x) is the y satisfying ye^y= x". In other words, it is the inverse of the function xe^x.