document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=202643>Question 202643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve.  Log (&#12310;3x&#12311;^2 + 2x +2)=0.84509 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152953 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3759)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=152953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the problem is not: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283x%5E2+%2B2x+%2B+2%29%29+=+0.84509 ALIGN=MIDDLE  ALT=\"log%28%283x%5E2+%2B2x+%2B+2%29%29+=+0.84509\"   DISABLED_style= \"max-width:90%; height:auto;\" >, please repost it<ul><li>Using { }, not [ ], to group things. In Math it is perfectly OK to use [ ], but on Algebra.com it causes some problems.</li><li>Use parentheses, including nested parentheses (parentheses inside of parentheses), to make the meaning of the problem clear.</li></ul><br><BR>\n" );
document.write( "If the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283x%5E2+%2B2x+%2B+2%29%29+=+0.84509 ALIGN=MIDDLE  ALT=\"log%28%283x%5E2+%2B2x+%2B+2%29%29+=+0.84509\"   DISABLED_style= \"max-width:90%; height:auto;\" >, start by rewriting it in exponential form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+2x+%2B+2+=+10%5E%280.84509%29 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+2x+%2B+2+=+10%5E%280.84509%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%280.84509%29+=+6.9998704114807013 ALIGN=MIDDLE  ALT=\"10%5E%280.84509%29+=+6.9998704114807013\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since this is so close to 7 I think you are supposed to use 7. (If not then you will have to use the quadratic formula on the equation with this very long decimal!?)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+2x+%2B+2+=+7 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+2x+%2B+2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting 7 from both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+%2B+2x+-+5+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+%2B+2x+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+%2B+5%29%28x+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"%283x+%2B+5%29%28x+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The only way for a product to be zero is if one of the factors is zero. So:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+%2B+5%29+=+0 ALIGN=MIDDLE  ALT=\"%283x+%2B+5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving these we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5%29%2F3 ALIGN=MIDDLE  ALT=\"x+=+%28-5%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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