There is no "formal" way to do this.
One method is Newton's Method if you know Calculus
Another way is to have a good calculator, and finetune your values of x
e.g. let x = 1
LS = e^1 = 2.71828..
Rs = 4
let x = 2
LS = e^2 = 738
RS = 6 , ahh, I went too high
let x = 1.5
LS = 4.48..
RS = 5 , have to go higher
let x = 1.6
LS = 4.95..
RS = 5.2 , a bit higher
let x = 1.7
LS = 5.47
RS = 5.40 , close, but I went a bit too high
let x = 1.69
LS = 5.41948
RS = 5.38
etc
Here is the best math webpage on the web
http://www.wolframalpha.com/input/?i=solve+e%5Ex+%3D+2%2B2x
Find the solution to e^x = 2+2x
1 answer
1 answer