document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685036>Question 685036</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation algebraically.Approximate the result to three decimal places.<BR>\n" );
document.write( "log(4x)-log(14+the square root of x)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424513 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=424513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation algebraically.Approximate the result to three decimal places.<BR>\n" );
document.write( "log(4x)-log(14+the square root of x)=2<BR>\n" );
document.write( "**<BR>\n" );
document.write( "log(4x)-log(14+&#8730;x)=2<BR>\n" );
document.write( "log[4x/(14+x^(1/2))=2<BR>\n" );
document.write( "convert to exponential form<BR>\n" );
document.write( "10^2=4x/(14+x^(1/2))=100<BR>\n" );
document.write( "4x=1400+100x^(1/2)<BR>\n" );
document.write( "4x-1400-100x^(1/2)=0<BR>\n" );
document.write( "let u=x^(1/2)<BR>\n" );
document.write( "u^2=x<BR>\n" );
document.write( "4u^2-100u-1400=0<BR>\n" );
document.write( "u^2-25u-350=0<BR>\n" );
document.write( "(u-35)(u+10)<BR>\n" );
document.write( "u=35=&#8730;x<BR>\n" );
document.write( "x=35^2=1225<BR>\n" );
document.write( "or<BR>\n" );
document.write( "u=-10=&#8730;x<BR>\n" );
document.write( "x=(-10)^2=100<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x=1225<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=100<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );