document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174209>Question 174209</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E5%2Bx%5E3%2B2x%2B7+by+x-3+ ALIGN=MIDDLE  ALT=\"+x%5E5%2Bx%5E3%2B2x%2B7+by+x-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5Ex+=+12+ ALIGN=MIDDLE  ALT=\"+4%5Ex+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "write as a single log  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+Log+x+-+%281%2F3%29+Log+y+%2B+4+Log+z+ ALIGN=MIDDLE  ALT=\"+3+Log+x+-+%281%2F3%29+Log+y+%2B+4+Log+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A radioactive isotope has a halflife of 600 years.  If 50g is on hand now, how much will be available in 1000 years?\r<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 #129144 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=129144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E5%2Bx%5E3%2B2x%2B7+by+x-3+ ALIGN=MIDDLE  ALT=\"+x%5E5%2Bx%5E3%2B2x%2B7+by+x-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use synthetic division:<BR>\n" );
document.write( "3)....1....0....1....0....2....7<BR>\n" );
document.write( ".......1....3....10...30...92..|..283\r<BR>\n" );
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document.write( "Quotient: x^4 + 3x^3 + 10x^2 + 30x + 92<BR>\n" );
document.write( "Remainder: 283<BR>\n" );
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document.write( "Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4%5Ex+=+12+ ALIGN=MIDDLE  ALT=\"+4%5Ex+=+12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "xlog(4) = log(12)<BR>\n" );
document.write( "x = log(12)/log(4) = 1.7925<BR>\n" );
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document.write( "write as a single log  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+Log+x+-+%281%2F3%29+Log+y+%2B+4+Log+z+ ALIGN=MIDDLE  ALT=\"+3+Log+x+-+%281%2F3%29+Log+y+%2B+4+Log+z+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "log(x^3) - log(y^(1/3)) + log(z^4)\r<BR>\n" );
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document.write( "= log[x^3*z^4/y^(1/3)]\r<BR>\n" );
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document.write( "A radioactive isotope has a halflife of 600 years.  If 50g is on hand now, how much will be available in 1000 years?<BR>\n" );
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document.write( "A(t) = Ao (1/2)^(t/600)<BR>\n" );
document.write( "A(1000) = 50*(1/2)^(1000/600)<BR>\n" );
document.write( "A(1000) = 50*0.31498<BR>\n" );
document.write( "A(1000) = 15.749 grams<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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