document.write( "Question 23942: I am trying to simplify ln(1/x + x).
\n" ); document.write( "or ln {(1+x^2)/x}
\n" ); document.write( "or ln(1+x^2)-ln(x).\r
\n" ); document.write( "\n" ); document.write( "Standard formulas are available for ln(1+x) and ln x. How do i expand or simplify ln (1+x^2).\r
\n" ); document.write( "\n" ); document.write( "Thanks. \n" ); document.write( "
Algebra.Com's Answer #12653 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
I am trying to simplify ln(1/x + x).\r\n" );
document.write( "or ln {(1+x^2)/x}\r\n" );
document.write( "or ln(1+x^2)-ln(x). \r\n" );
document.write( "Standard formulas are available for ln(1+x) and ln x. How do i expand or\r\n" );
document.write( "simplify ln (1+x^2). \r\n" );
document.write( "Thanks.\r\n" );
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document.write( "Since you say you have a standard formula available for\r\n" );
document.write( "ln(1+x) you can just replace x by x² in that standard formula \r\n" );
document.write( "and you'll have a formula for ln(1+x²).\r\n" );
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document.write( "And since you also say you have a standard formula available for \r\n" );
document.write( "ln(x), then you only need \" ln(1+x²) - ln(x) \", which you can\r\n" );
document.write( "easily get by subtracting these.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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