SOLUTION: Find y as a function of x; the constant C is a positive number. ln(y-1) + ln(y+1) = -x + C Please help me with this; thanx

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find y as a function of x; the constant C is a positive number. ln(y-1) + ln(y+1) = -x + C Please help me with this; thanx      Log On


   

Question 149982: Find y as a function of x; the constant C is a positive number.
ln(y-1) + ln(y+1) = -x + C
Please help me with this; thanx
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Find y as a function of x; the constant C is a positive number.
:
ln(y-1) + ln(y+1) = -x + C
:
ln[(y-1)*(y+1)] = - x + c; adding logs means multiply
:
ln(y^2 - 1) = -x + c; FOILed
:
y%5E2+-+1+=+e%5E%28-x%2Bc%29; find e%5Ex of both sides
:
y%5E2+=+1+%2B+e%5E%28-x%2Bc%29; add 1 to both sides:
:
y = sqrt%281+%2B+e%5E%28-x%2Bc%29%29; find the square root of both sides
: