document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958299>Question 958299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Either use factoring or the quadratic formula to solve the given equation.<BR>\n" );
document.write( "(log10 x)^2 + log10 x = 6<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 #585658 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=585658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (log10 x)^2 + log10 x = 6<BR>\n" );
document.write( "substitute z for (log10 x)<BR>\n" );
document.write( "z^2 + z = 6<BR>\n" );
document.write( "z^2 + z - 6 = 0<BR>\n" );
document.write( "(z - 3)(z +2) = 0<BR>\n" );
document.write( "So z = 3 or z = -2<BR>\n" );
document.write( "Since z = (log10 x),<BR>\n" );
document.write( "log10 x = 3 or log10 x = -2<BR>\n" );
document.write( "So either x = 1000 or x = 1/100\r<BR>\n" );
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