document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=80522>Question 80522</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: log(base 5)3x + log(base 5)(x-3) = 1\r<BR>\n" );
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document.write( "I see they both have a common base of 5. I'm not sure if I'm on the right track, but this is what I got so far: <BR>\n" );
document.write( "log(base 5)[3x(x-3)] = 1<BR>\n" );
document.write( "3x(x-3) = 5^1<BR>\n" );
document.write( "3x^2 - 9x =5<BR>\n" );
document.write( "3x^2 - 9x - 5 = 0<BR>\n" );
document.write( "I then tried factoring it out, but I don't think it works.\r<BR>\n" );
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document.write( "I think that first 3 in the problem might be throwing me off for some reason. Any help with this is greatly appreciated. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57756 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=57756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log%5B5%5D%283x%29%2BLog%5B5%5D%28x-3%29+=+1 ALIGN=MIDDLE  ALT=\"Log%5B5%5D%283x%29%2BLog%5B5%5D%28x-3%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the product rule for logarithms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log%5B5%5D%28%283x%29%28x-3%29%29+=+1 ALIGN=MIDDLE  ALT=\"Log%5B5%5D%28%283x%29%28x-3%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log%5B5%5D%283x%5E2-9x%29+=+1 ALIGN=MIDDLE  ALT=\"Log%5B5%5D%283x%5E2-9x%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite in exponential form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E1+=+3x%5E2-9x ALIGN=MIDDLE  ALT=\"5%5E1+=+3x%5E2-9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-9x-5+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2-9x-5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Your work up to this point is commendable!...and you are correct, this quadratic equation is not factorable, so you can use the quadratic formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-9%29%2B-sqrt%28%28-9%29%5E2-4%283%29%28-5%29%29%29%2F2%283%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-9%29%2B-sqrt%28%28-9%29%5E2-4%283%29%28-5%29%29%29%2F2%283%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+=+%289%2B-sqrt%2881%2B60%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%289%2B-sqrt%2881%2B60%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%289%2B-sqrt%28141%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+%289%2B-sqrt%28141%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The exact answers are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2%2B%28sqrt%28141%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+3%2F2%2B%28sqrt%28141%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2-%28sqrt%28141%29%29%2F6 ALIGN=MIDDLE  ALT=\"x+=+3%2F2-%28sqrt%28141%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The approximate answers are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3.48 ALIGN=MIDDLE  ALT=\"x+=+3.48\"   DISABLED_style= \"max-width:90%; height:auto;\" > To the nearest hundredth.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-0.48 ALIGN=MIDDLE  ALT=\"x+=+-0.48\"   DISABLED_style= \"max-width:90%; height:auto;\" > To the nearest hundredth. </SPAN>\n" );
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