SOLUTION: Solve x in terms of y. Question: y = (e^x + e^-x)/(e^x - e^-x) Answer: x= 1/2 ln ((y+1)/(y-1)) I have the answer with me, but I don�t know how to solve the question ste

Question 1122979: Solve x in terms of y.
Question:
y = (e^x + e^-x)/(e^x - e^-x)
Answer:
x= 1/2 ln ((y+1)/(y-1))
I have the answer with me, but I don�t know how to solve the question step by step.
Thank you so much for the help.
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!



Multiply right side by 



Simplify:



Simplify:



Multiply both sides by 



Distribute on left:



Get terms in  on left side, others on right:



Factor out  on the left side:



Divide both sides by y-1


 
Take natural logs of both sides:









Multiply both sides by 





Edwin

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