document.write( "Question 28458: 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 \n" ); document.write( "

Algebra.Com's Answer #15466 by sdmmadam@yahoo.com(530) $\"\"$ $\"About$

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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
\n" ); document.write( "ln(y-1)+ln(y+1)=-x+c ----(1)
\n" ); document.write( "log[(y-1)(y+1)] = (-x+c)
\n" ); document.write( "(using formula loga +logb =log(ab)all to the same base 10)
\n" ); document.write( "log(y^2-1)=(-x+c)
\n" ); document.write( "(y^2-1)= 10^(-x+c)
\n" ); document.write( "Using definition: Given N>0,
\n" ); document.write( "log(N) to a given base b is the power p to which the base has to be raised to give the number. That is N =b^p
\n" ); document.write( "y^2 = [10^(c-x)+1]
\n" ); document.write( "y = (+ or minus)sqrt[10^(c-x)+1] \r
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