\r\n" );
document.write( "I assume that by log( ) you mean loge( ) and not \r\n" );
document.write( "log10( ) as most people in the US mean by log( ). \r\n" );
document.write( "When we want to indicate loge we write ln( ). If\r\n" );
document.write( "you meant log10 then tell me in the thank-you note \r\n" );
document.write( "form below and I'll get back to you. \r\n" );
document.write( "\r\n" );
document.write( "Use Euler's equation:\r\n" );
document.write( "\r\n" );
document.write( " 
,\r\n" );
document.write( "\r\n" );
document.write( "Substitute ln(1+i) for a+bi on the left \r\n" );
document.write( "\r\n" );
document.write( " 
\r\n" );
document.write( "\r\n" );
document.write( " 
\r\n" );
document.write( "\r\n" );
document.write( "eq. 1 
\r\n" );
document.write( "\r\n" );
document.write( "Set the real part on the left side of eq. 1 \r\n" );
document.write( "equal to the real part on the right of eq. 1:\r\n" );
document.write( "\r\n" );
document.write( "eq. 2 
\r\n" );
document.write( "\r\n" );
document.write( "Set the imaginary part on the left side of eq. 1 \r\n" );
document.write( "equal to the imaginary part on the right of eq. 1:\r\n" );
document.write( "\r\n" );
document.write( "eq. 3 
\r\n" );
document.write( "\r\n" );
document.write( "Divide equals by equals, that is, divide both side \r\n" );
document.write( "of eq. 2 by both sides of eq. 1\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The tangent is positive in QI and QIII so\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "However in eq. 3\r\n" );
document.write( "\r\n" );
document.write( ",\r\n" );
document.write( "\r\n" );
document.write( "the left side is positive, and ea is positive,\r\n" );
document.write( "so we can discard the QIII answer. \r\n" );
document.write( "\r\n" );
document.write( "Substitute in eq. 3, using 
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Square both sides to eliminate the square root:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Take ln of both sides:\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "So the solution is\r\n" );
document.write( "\r\n" );
document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-13.gif\")
