document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998769>Question 998769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x<BR>\n" );
document.write( "log(base5)x+log(base5)(x+1)=7\r<BR>\n" );
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document.write( "I tried solving this equation but couldn't find the answer. Here are my step.\r<BR>\n" );
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document.write( "log(base5)x+log(base5)(x+1)=7\r<BR>\n" );
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document.write( "log(base5)x(x+1)=7<BR>\n" );
document.write( "log(base5) x^2+x=7<BR>\n" );
document.write( "5^7=x^2+x --- I am stuck here<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 #616515 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=616515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your steps mostly show non-standard notation; otherwise, you stopped too early without doing what you already know how to do.\r<BR>\n" );
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document.write( "Do like this:<BR>\n" );
document.write( "As plain text, log(5,(x))+log(5,(x+1))=7<BR>\n" );
document.write( "As rendered to look like standard notation, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%28x%29%29%2Blog%285%2C%28x%2B1%29%29=7 ALIGN=MIDDLE  ALT=\"log%285%2C%28x%29%29%2Blog%285%2C%28x%2B1%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Property of logs, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%28x%28x%2B1%29%29%29=7 ALIGN=MIDDLE  ALT=\"log%285%2C%28x%28x%2B1%29%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute inside the log input,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%28x%5E2%2Bx%29%29=7 ALIGN=MIDDLE  ALT=\"log%285%2C%28x%5E2%2Bx%29%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E7=x%5E2%2Bx ALIGN=MIDDLE  ALT=\"5%5E7=x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So far what you would have shown better if done on paper.  Why did you just stop there?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx=5%5E7 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx=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%2Bx-5%5E7=0 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-5%5E7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----Quadratic Equation\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%281%2B4%2A5%5E7%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-+sqrt%281%2B4%2A5%5E7%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >------solutions in raw form, even though not very pretty with the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E7 ALIGN=MIDDLE  ALT=\"5%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" > shown as part of the expression.\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%281%2B4%2A78125%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-+sqrt%281%2B4%2A78125%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%28312501%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-1%2B-+sqrt%28312501%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----the square root part becomes very near to 559, but...<BR>\n" );
document.write( "THE prime factorization of 312501 is  3*7*23*647, so ...<BR>\n" );
document.write( "YES, use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28312501%29=559.018 ALIGN=MIDDLE  ALT=\"sqrt%28312501%29=559.018\"   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=highlight%28x=%28-1%2B-+559.018%29%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28-1%2B-+559.018%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x=279  or   x=-280 </SPAN>\n" );
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