document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138795>Question 1138795</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve for x in<BR>\n" );
document.write( "4logx to base 16 = log(x + 12) to base 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756583 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4log%2816%2Cx%29+=+log%284%2Cx+%2B+12%29 ALIGN=MIDDLE  ALT=\"4log%2816%2Cx%29+=+log%284%2Cx+%2B+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.............change to base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4log%28x%29%2Flog%2816%29+=+log%28x+%2B+12%29%2Flog%284%29 ALIGN=MIDDLE  ALT=\"4log%28x%29%2Flog%2816%29+=+log%28x+%2B+12%29%2Flog%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%29%2Flog%284%5E2%29+-log%28x+%2B+12%29%2Flog%284%29=0 ALIGN=MIDDLE  ALT=\"log%28x%5E4%29%2Flog%284%5E2%29+-log%28x+%2B+12%29%2Flog%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%29%2F2log%284%29+-log%28x+%2B+12%29%2Flog%284%29=0 ALIGN=MIDDLE  ALT=\"log%28x%5E4%29%2F2log%284%29+-log%28x+%2B+12%29%2Flog%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%29%2F2log%284%29+-2log%28x+%2B+12%29%2F2log%284%29=0 ALIGN=MIDDLE  ALT=\"log%28x%5E4%29%2F2log%284%29+-2log%28x+%2B+12%29%2F2log%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%28x%5E4%29+-2log%28x+%2B+12%29%29%2F2log%284%29=0 ALIGN=MIDDLE  ALT=\"%28log%28x%5E4%29+-2log%28x+%2B+12%29%29%2F2log%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28log%28x%5E4%29+-log%28%28x+%2B+12%29%5E2%29%29%2F2log%284%29=0 ALIGN=MIDDLE  ALT=\"%28log%28x%5E4%29+-log%28%28x+%2B+12%29%5E2%29%29%2F2log%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%2F%28x+%2B+12%29%5E2%29%2F2log%284%29=0 ALIGN=MIDDLE  ALT=\"log%28x%5E4%2F%28x+%2B+12%29%5E2%29%2F2log%284%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "will be equal to zero only if\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%2F%28x+%2B+12%29%5E2%29=0 ALIGN=MIDDLE  ALT=\"log%28x%5E4%2F%28x+%2B+12%29%5E2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281%29=0 ALIGN=MIDDLE  ALT=\"log%281%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E4%2F%28x+%2B+12%29%5E2%29=log%281%29 ALIGN=MIDDLE  ALT=\"log%28x%5E4%2F%28x+%2B+12%29%5E2%29=log%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...since log same\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2F%28x+%2B+12%29%5E2=1 ALIGN=MIDDLE  ALT=\"x%5E4%2F%28x+%2B+12%29%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4=1%2A%28x+%2B+12%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E4=1%2A%28x+%2B+12%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4=x%5E2+%2B+24x%2B144 ALIGN=MIDDLE  ALT=\"x%5E4=x%5E2+%2B+24x%2B144\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-x%5E2+-+24x-144=0 ALIGN=MIDDLE  ALT=\"x%5E4-x%5E2+-+24x-144=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+4%29+%28x+%2B+3%29+%28x%5E2+%2B+x+%2B+12%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+4%29+%28x+%2B+3%29+%28x%5E2+%2B+x+%2B+12%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+4%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x+%2B+3%29++=+0 ALIGN=MIDDLE  ALT=\"+%28x+%2B+3%29++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> disregard negative solution for log\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++%28x%5E2+%2B+x+%2B+12%29+=+0 ALIGN=MIDDLE  ALT=\"++%28x%5E2+%2B+x+%2B+12%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >..use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A12+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A12+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+sqrt%28+1-48+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+1-48+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+sqrt%28+-47+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+-47+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > => disregard two complex solutions\r<BR>\n" );
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document.write( "answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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