document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4711>Question 4711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,I hope someone can answer my log question:\r<BR>\n" );
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document.write( "log(x+2)-logx= log (x+5) Solve for x.  \r<BR>\n" );
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document.write( "Thanks alot!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2215 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(x+2)-logx=(x+5) \r<BR>\n" );
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document.write( "Use the second law of logarithms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+M+-+log+N+=+log+%28M+%2F+N%29+ ALIGN=MIDDLE  ALT=\"log+M+-+log+N+=+log+%28M+%2F+N%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >to express the left side as a quotient:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%28%28x%2B2%29%29+-+log+x+=+log+%28%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"log+%28%28x%2B2%29%29+-+log+x+=+log+%28%28x%2B5%29%29+\"   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%2F+%28x%29%29+=+log+%28%28x%2B+5%29%29+ ALIGN=MIDDLE  ALT=\"log+%28%28x%2B2%29%2F+%28x%29%29+=+log+%28%28x%2B+5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "log M = log N means that M=N.\r<BR>\n" );
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document.write( "Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29+%2F+x+=+%28x%2B5%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29+%2F+x+=+%28x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Multiply both sides of the equation by x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B+2+=+x%28x%2B+5%29+ ALIGN=MIDDLE  ALT=\"x%2B+2+=+x%28x%2B+5%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%2B2+=+x%5E2+%2B+5x+ ALIGN=MIDDLE  ALT=\"x%2B2+=+x%5E2+%2B+5x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Set equal to zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2+%2B+5x+-+x+-+2 ALIGN=MIDDLE  ALT=\"+0+=+x%5E2+%2B+5x+-+x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+x%5E2++%2B+4x+-+2 ALIGN=MIDDLE  ALT=\"+0+=+x%5E2++%2B+4x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Are you sure you copied this right?  They \"usually\" factor at this point.  Nevertheless,\r<BR>\n" );
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document.write( "Solve by quadratic formula or completing the square.  Completing the square is actually easier.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2++%2B+4x+-+2+=+0 ALIGN=MIDDLE  ALT=\"x%5E2++%2B+4x+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add +2 to each side and place a blank space on each side of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+4x+%2B+_____+=+2+%2B+_____ ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+4x+%2B+_____+=+2+%2B+_____\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take half of the x coefficient, and square it.  Half of 4 is 2, and 2^2 = 4.  Add +4 to each side of the equation on the blank lines above:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%2B+4x+%2B+4+=+2+%2B+4 ALIGN=MIDDLE  ALT=\"+x%5E2+%2B+4x+%2B+4+=+2+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B+2%29+%5E2+=+6 ALIGN=MIDDLE  ALT=\"+%28x%2B+2%29+%5E2+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take square root of each side of the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+0+%2B-+sqrt+%286%29+ ALIGN=MIDDLE  ALT=\"x%2B2+=+0+%2B-+sqrt+%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subract 2 from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-2+%2B-+sqrt+%286%29 ALIGN=MIDDLE  ALT=\"x=+-2+%2B-+sqrt+%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Of course, you must reject the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+-+sqrt+%286%29 ALIGN=MIDDLE  ALT=\"-2+-+sqrt+%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, since it makes the log of a negative.  The final answer is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%2B+sqrt+%286%29+ ALIGN=MIDDLE  ALT=\"-2+%2B+sqrt+%286%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Are you sure you didn't copy this wrong??\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
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