document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20730>Question 20730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help solve this?\r<BR>\n" );
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document.write( "1 - logx = log(3x-1)\r<BR>\n" );
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document.write( "I tried:<BR>\n" );
document.write( "1 - logx = log 3x - log 1<BR>\n" );
document.write( "1 = logx + log 3x - log 1<BR>\n" );
document.write( "1 = log4x - log 1\r<BR>\n" );
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document.write( "I also tried:<BR>\n" );
document.write( "1 - logx = log(3x-1)<BR>\n" );
document.write( "divide both sides by log<BR>\n" );
document.write( "1-x = (3x-1)<BR>\n" );
document.write( "2 - x = 3x<BR>\n" );
document.write( "2 = 4x<BR>\n" );
document.write( "1/2 = x\r<BR>\n" );
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document.write( "Or:<BR>\n" );
document.write( "1 - logx = log(3x-1)<BR>\n" );
document.write( "1 - 10 = log3x - log<BR>\n" );
document.write( "-9 = 3logx - log<BR>\n" );
document.write( "-9 = 3(10) - log<BR>\n" );
document.write( "-9 = 30 - log<BR>\n" );
document.write( "-39 = -log\r<BR>\n" );
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document.write( "The teacher's answer is 2<BR>\n" );
document.write( "Can anyone help?\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9966 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=9966\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-logx+=+log%28%283x-1%29%29 ALIGN=MIDDLE  ALT=\"1-logx+=+log%28%283x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add logx to both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+log%28%283x-1%29%29+%2B+logx ALIGN=MIDDLE  ALT=\"1+=+log%28%283x-1%29%29+%2B+logx\"   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=1+=+log%28%28%283x-1%29%2A%28x%29%29%29 ALIGN=MIDDLE  ALT=\"1+=+log%28%28%283x-1%29%2A%28x%29%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=1+=+log%28%283x%5E2-x%29%29 ALIGN=MIDDLE  ALT=\"1+=+log%28%283x%5E2-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Recall that: If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%29+=+1 ALIGN=MIDDLE  ALT=\"log%28a%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+10 ALIGN=MIDDLE  ALT=\"a+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > because: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%29=1 ALIGN=MIDDLE  ALT=\"log%2810%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2-x%29+=+10 ALIGN=MIDDLE  ALT=\"%283x%5E2-x%29+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 10 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-x-10=+0 ALIGN=MIDDLE  ALT=\"3x%5E2-x-10=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this quadratic equation by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B5%29%28x-2%29+=+0 ALIGN=MIDDLE  ALT=\"%283x%2B5%29%28x-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B5%29+=+0 ALIGN=MIDDLE  ALT=\"%283x%2B5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29+=+0 ALIGN=MIDDLE  ALT=\"%28x-2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B5+=+0 ALIGN=MIDDLE  ALT=\"3x%2B5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+-5 ALIGN=MIDDLE  ALT=\"3x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F3 ALIGN=MIDDLE  ALT=\"x+=+-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2+=+0 ALIGN=MIDDLE  ALT=\"x-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"x+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The roots are: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2 ALIGN=MIDDLE  ALT=\"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=x+=+%28-5%2F3%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "1) x = 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-log%282%29+=+log%28%283%282%29-1%29%29 ALIGN=MIDDLE  ALT=\"1-log%282%29+=+log%28%283%282%29-1%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=1-0.30103+=+log%285%29 ALIGN=MIDDLE  ALT=\"1-0.30103+=+log%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.69897+=+0.69897 ALIGN=MIDDLE  ALT=\"0.69897+=+0.69897\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F3 ALIGN=MIDDLE  ALT=\"x+=+-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1-log((-5/3)) = 0.77815..., -1.36437...<BR>\n" );
document.write( "log(3(-5/3)-1) = 0.77815..., 1.36437...  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5%2F3%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a valid root.\r<BR>\n" );
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document.write( "Answer is x = 2<BR>\n" );
document.write( " </SPAN>\n" );
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