document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=453070>Question 453070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the larger root of the following equation: <BR>\n" );
document.write( "log(z) + log(z + 19) = 2 log(z + 2). \r<BR>\n" );
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document.write( "(Please round your answer to two decimal places.)<BR>\n" );
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document.write( " Answer   <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311364 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=311364\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the larger root of the following equation:<BR>\n" );
document.write( "log(z) + log(z + 19) = 2 log(z + 2). <BR>\n" );
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document.write( "log(z(z+19)) = 2 log(z+2)<BR>\n" );
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document.write( "log(z^2+19z) = log((z+2)^2)<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "z^2 + 19z = (z+2)^2<BR>\n" );
document.write( "z^2 + 19z = z^2 + 4z + 4<BR>\n" );
document.write( "z^2 - z^2 + 19z - 4z = 4<BR>\n" );
document.write( "15z = 4<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F15 ALIGN=MIDDLE  ALT=\"4%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = .267 is the only root </SPAN>\n" );
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