document.write( "Question 956227: Solve: log y-1 = -log(y-9) \n" ); document.write( "

Algebra.Com's Answer #585661 by LinnW(1048) $\"\"$ $\"About$

You can put this solution on YOUR website!
log(y-1) = - log(y-9)
\n" ); document.write( "log(y-1) = -1* log(y-9)
\n" ); document.write( " $\"log%28y-1%29+=+log%28%28y-9%29%29%5E-1\"$
\n" ); document.write( " $\"log%28y-1%29+=+log%281%2F%28y-9%29%29\"$
\n" ); document.write( " $\"y+-+1+=+1%2F%28y-9%29\"$
\n" ); document.write( " $\"%28y+-+1%29%2F1+=+1%2F%28y-9%29\"$
\n" ); document.write( " $\"%28y+-+1%29%28y-9%29=1\"$
\n" ); document.write( " $\"y%5E2-9y-y%2B9=1\"$
\n" ); document.write( " $\"y%5E2-10y%2B9=1\"$
\n" ); document.write( " $\"y%5E2-10y%2B8=0\"$
\n" ); document.write( " $\"y+=+5+%2B+sqrt%2817%29\"$
\n" ); document.write( "Notice that $\"y+=+5+-+sqrt%2817%29\"$
\n" ); document.write( "will not work since this would make the value of y-9 in log(y-9) negative.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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