document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83401>Question 83401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation and express irrational solutions in lowest radical form.<BR>\n" );
document.write( "log(x) + log(x+15) = 2<BR>\n" );
document.write( "I just can't seem to grasp how to solve this. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59906 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=59906\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(x) + log(x+15) = 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28x%29%29+%2B+log%2810%2C%28x%2B15%29%29+=+2 ALIGN=MIDDLE  ALT=\"log%2810%2C%28x%29%29+%2B+log%2810%2C%28x%2B15%29%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the first law of logarithms to form a single logarithm:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cx%28x%2B15%29%29=2 ALIGN=MIDDLE  ALT=\"log%2810%2Cx%28x%2B15%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using the basic definition, convert to exponential form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2+=+x%28x%2B15%29 ALIGN=MIDDLE  ALT=\"10%5E2+=+x%28x%2B15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100+=+x%5E2+%2B+15x+ ALIGN=MIDDLE  ALT=\"100+=+x%5E2+%2B+15x+\"   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+15x+-100+ ALIGN=MIDDLE  ALT=\"0=x%5E2+%2B+15x+-100+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the quadratic formula by factoring if possible, otherwise the quadratic formula or completing the square:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-20%29%28x%2B5%29+ ALIGN=MIDDLE  ALT=\"0=%28x-20%29%28x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >   (Isn't it nice when these kinds of problems factor?  )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=20 ALIGN=MIDDLE  ALT=\"x=20\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You must check these answers to make sure that none of the values of x make a log of a negative (logs of negatives are not allowed in the real numbers!!).  Therefore, the answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be rejected.  \r<BR>\n" );
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document.write( "The final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+20 ALIGN=MIDDLE  ALT=\"x=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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