SOLUTION: So I have this problem y={{{(e^x)/(1-e^x)}}} for which I
want to solve for x. What I tried to do was take the log
of numerator and denominator separately to get x={{{log(e,y)-l
Question 1042521: So I have this problem y= for which I
want to solve for x. What I tried to do was take the log
of numerator and denominator separately to get x=
Combining that I get but apparently the answer was .
So my question is why did the sign switch from a + to a -.
Thanks Answer by Edwin McCravy(20060) (Show Source):
I use "ln" instead of "loge.
You took natural logs of both sides too soon.
Wait until you've solved for ex.
First multiply both sides by 1-ex
Distribute
Isolate the terms in ex:
Factor out ex on the right:
Divide both sides by y+1
Take natural logs of both sides:
Edwin