document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33989>Question 33989</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 log(x+2)+log4 = log x + 4 log3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20359 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i assume that the logs are all base10? If so,\r<BR>\n" );
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document.write( "2log(x+2)+log4 = log x + 4 log3<BR>\n" );
document.write( "2log(x+2) = log x + 4 log3 - log4<BR>\n" );
document.write( "2log(x+2) - log x = 4 log3 - log4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28x%2B2%29%5E2+-+log+x+=+log3%5E4+-+log4+ ALIGN=MIDDLE  ALT=\"+log%28x%2B2%29%5E2+-+log+x+=+log3%5E4+-+log4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%28x%2B2%29%5E2%2Fx%29+=+log%283%5E4%2F4%29+ ALIGN=MIDDLE  ALT=\"+log%28%28x%2B2%29%5E2%2Fx%29+=+log%283%5E4%2F4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, raise both terms to power 10, to cancel the logs:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%5E2%2Fx+=+81%2F4+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%5E2%2Fx+=+81%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28x%2B2%29%5E2+=+81x+ ALIGN=MIDDLE  ALT=\"+4%28x%2B2%29%5E2+=+81x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%28x%5E2%2B4x%2B4%29+=+81x+ ALIGN=MIDDLE  ALT=\"+4%28x%5E2%2B4x%2B4%29+=+81x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2%2B16x%2B16+=+81x+ ALIGN=MIDDLE  ALT=\"+4x%5E2%2B16x%2B16+=+81x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2-65x%2B16+=+0+ ALIGN=MIDDLE  ALT=\"+4x%5E2-65x%2B16+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is just a simple quadratic now, to either factorise if you can spot it or use the quadratic formula if not.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-b+%2B-+sqrt%28b%5E2-4ac%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-%28-65%29+%2B-+sqrt%28%28-65%29%5E2-4%284%29%2816%29%29%29%2F%282%284%29%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-%28-65%29+%2B-+sqrt%28%28-65%29%5E2-4%284%29%2816%29%29%29%2F%282%284%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Working this through gives x=16 or x=0.25\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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