Math Is Fun Forum

mdeg

Member

Registered: 2007-05-16

Posts: 1

Solving a non-linear equation

Hi

i am trying to implement a reliability mathematical model, however, i need to solve to following equation for b (which i cant ):

n/b - (n*a)/( exp(b*a)-1 ) - t = 0

where n, a and t are all known variables.

I have tried to solve be by estimating the exp, by using exp(x) is approximatly equal to (1+x), however b*a is known to be larger than one so this solution fails.

It is known that for example, n=10, a=222 and t = 870, b would be equal to 0.006.

I have also tried to apply logs on both side but always got stuck. Any help would be greatly appreciated, as i really am out of ideas!

Thanks alot in advance!

MA