document.write( "Question 1042521: So I have this problem y=\"%28e%5Ex%29%2F%281-e%5Ex%29\" for which I
\n" ); document.write( "want to solve for x. What I tried to do was take the log
\n" ); document.write( "of numerator and denominator separately to get x=\"log%28e%2Cy%29-log%28e%2C%281-y%29%29\"
\n" ); document.write( "Combining that I get \"log%28e%2C%28y%2F1-y%29%29\" but apparently the answer was \"log%28e%2C%28y%2F1%2By%29%29\".
\n" ); document.write( "So my question is why did the sign switch from a + to a -.
\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #657481 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "I use \"ln\" instead of \"loge.\r\n" );
document.write( "\r\n" );
document.write( "You took natural logs of both sides too soon.\r\n" );
document.write( "Wait until you've solved for ex.\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"%28e%5Ex%29%2F%281-e%5Ex%29\"\r\n" );
document.write( "\r\n" );
document.write( " First multiply both sides by 1-ex\r\n" );
document.write( "\r\n" );
document.write( "\"y%281-e%5Ex%29\"\"%22%22=%22%22\"\"e%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "Distribute\r\n" );
document.write( "\r\n" );
document.write( "\"y-ye%5Ex\"\"%22%22=%22%22\"\"e%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "Isolate the terms in ex:\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"ye%5Ex%2Be%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "Factor out ex on the right:\r\n" );
document.write( "\r\n" );
document.write( "\"y\"\"%22%22=%22%22\"\"e%5Ex%2A%28y%2B1%29\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by y+1\r\n" );
document.write( "\r\n" );
document.write( "\"y%2F%28y%2B1%29\"\"%22%22=%22%22\"\"e%5Ex\"\r\n" );
document.write( "\r\n" );
document.write( "Take natural logs of both sides:\r\n" );
document.write( "\r\n" );
document.write( "\"ln%28y%2F%28y%2B1%29%29\"\"%22%22=%22%22\"\"x\"\r\n" );
document.write( "\r\n" );
document.write( "\"x\"\"%22%22=%22%22\"\"ln%28y%2F%28y%2B1%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );