document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998780>Question 998780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help and show all work step by step. I have tried this and the answer I came up with was 11 but it was wrong.\r<BR>\n" );
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document.write( "Find the largest value of x  that satisfies: <BR>\n" );
document.write( "log_5(x^2)-log_5(x+4)=7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616529 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=616529\">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=log%285%2Cx%5E2%29-log%285%2C%28x%2B4%29%29=7 ALIGN=MIDDLE  ALT=\"log%285%2Cx%5E2%29-log%285%2C%28x%2B4%29%29=7\"   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%285%2Cx%5E2%2F%28x%2B4%29%29=7 ALIGN=MIDDLE  ALT=\"log%285%2Cx%5E2%2F%28x%2B4%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >......change the base\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%5E2%2F%28x%2B4%29%29%2Flog%285%29=7 ALIGN=MIDDLE  ALT=\"log%28x%5E2%2F%28x%2B4%29%29%2Flog%285%29=7\"   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%5E2%2F%28x%2B4%29%29=7log%285%29 ALIGN=MIDDLE  ALT=\"log%28x%5E2%2F%28x%2B4%29%29=7log%285%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%5E2%2F%28x%2B4%29%29=log%285%5E7%29 ALIGN=MIDDLE  ALT=\"log%28x%5E2%2F%28x%2B4%29%29=log%285%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....if log same, than we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F%28x%2B4%29=5%5E7 ALIGN=MIDDLE  ALT=\"x%5E2%2F%28x%2B4%29=5%5E7\"   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%5E2%2F%28x%2B4%29=78125 ALIGN=MIDDLE  ALT=\"x%5E2%2F%28x%2B4%29=78125\"   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%5E2=78125%28x%2B4%29 ALIGN=MIDDLE  ALT=\"x%5E2=78125%28x%2B4%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%5E2=78125x%2B312500 ALIGN=MIDDLE  ALT=\"x%5E2=78125x%2B312500\"   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%5E2-78125x-312500=0 ALIGN=MIDDLE  ALT=\"x%5E2-78125x-312500=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-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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-%28-78125%29+%2B-+sqrt%28+%28-78125%29%5E2-4%2A1%2A%28-312500%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE   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+=+%2878125+%2B-+sqrt%28+6103515625%2B1250000+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+%2B-+sqrt%28+6103515625%2B1250000+%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+=+%2878125+%2B-+sqrt%28+6104765625+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+%2B-+sqrt%28+6104765625+%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+=+%2878125+%2B-7625sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+%2B-7625sqrt%28105%29%29%2F2+\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2878125+%2B7625+sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+%2B7625+sqrt%28105%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+78125%2F2+%2B7625sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+78125%2F2+%2B7625sqrt%28105%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+=+%2878125+-7625+sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+-7625+sqrt%28105%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+78125%2F2+-7625sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+78125%2F2+-7625sqrt%28105%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the largest value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  that satisfies is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2878125+%2B7625+sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%2878125+%2B7625+sqrt%28105%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+78125%2F2+%2B7625sqrt%28105%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+78125%2F2+%2B7625sqrt%28105%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=78128.9998 ALIGN=MIDDLE  ALT=\"x=78128.9998\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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