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

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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): You can put this solution on YOUR website!


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
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