document.write( "Question 149982: Find y as a function of x; the constant C is a positive number.
\n" ); document.write( "ln(y-1) + ln(y+1) = -x + C\r
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Algebra.Com's Answer #110105 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find y as a function of x; the constant C is a positive number.
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\n" ); document.write( "ln(y-1) + ln(y+1) = -x + C
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\n" ); document.write( "ln[(y-1)*(y+1)] = - x + c; adding logs means multiply
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\n" ); document.write( "ln(y^2 - 1) = -x + c; FOILed
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\n" ); document.write( " $\"y%5E2+-+1+=+e%5E%28-x%2Bc%29\"$ ; find $\"e%5Ex\"$ of both sides
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\n" ); document.write( " $\"y%5E2+=+1+%2B+e%5E%28-x%2Bc%29\"$ ; add 1 to both sides:
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\n" ); document.write( "y = $\"sqrt%281+%2B+e%5E%28-x%2Bc%29%29\"$ ; find the square root of both sides
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