e^x = 0.5x + 3
I know the number e is 2.71828 so
2.71828^x = 0.5x + 3
divide both sides by 0.5 so
5.43656^x = x + 3
I think that's right but then do not know where to go from there, any help?
2006-12-15 01:12:44 · 4 answers · asked by jonesin_am 1 in Science & Mathematics ➔ Mathematics
ln(e^x) = ln(0.5x + 3)
x = ln(0.5x + 3)
Solve iteratively:
For example:
take x = 0
And fill in in the logarithm:
x = 1.0986
Fill this in:
x = 1.2668
x = 1.2902
...
x = 1.2939
...
x = 1.29388980394509
PS:
you have to take logarithm first because of stability
a small change in x gives a smaller change is ln(x).
A small change in x gives a large change in e^x.
2006-12-15 01:17:48 · answer #1 · answered by anton3s 3 · 0⤊ 0⤋
You can't solve this in what's called 'closed form', which essentially means algebraically.
It has to be done numerically........computer.
2006-12-15 09:46:36 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Goodness what freakin lab do work in?
2006-12-15 09:16:35 · answer #3 · answered by Anonymous · 0⤊ 2⤋
4.087312 is the final answer
2006-12-15 09:17:33 · answer #4 · answered by Ex Head 6 · 0⤊ 0⤋