document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=554298>Question 554298</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i have tried this problem several times and i just cant get an answer that works when i plug it back in. so far i have gotten 2/3 and 17/18\r<BR>\n" );
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document.write( "(2^x)*(8^(x+1))=16^(1/3)\r<BR>\n" );
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document.write( "help please! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #361302 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=361302\">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=%282%5Ex%29%2A%288%5E%28x%2B1%29%29+=+16%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%2A%288%5E%28x%2B1%29%29+=+16%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+2%5E3 ALIGN=MIDDLE  ALT=\"8+=+2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+2%5E4 ALIGN=MIDDLE  ALT=\"16+=+2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5Ex%29%2A%282%5E3%29%5E%28x%2B1%29+=+2%5E%284%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%2A%282%5E3%29%5E%28x%2B1%29+=+2%5E%284%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5Ex%29%2A%282%5E%283x%2B3%29%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%2A%282%5E%283x%2B3%29%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the exponents on the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%284x%2B3%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"2%5E%284x%2B3%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the bases (that's 2) are equal, the exponents are equal, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B3+=+4%2F3 ALIGN=MIDDLE  ALT=\"4x%2B3+=+4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by 3 to clear the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%2B9+=+4 ALIGN=MIDDLE  ALT=\"12x%2B9+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 9 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x+=+-5 ALIGN=MIDDLE  ALT=\"12x+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide by 12.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F12 ALIGN=MIDDLE  ALT=\"x+=+-5%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5Ex%29%2A%288%5E%28x%2B1%29%29+=+16%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%2A%288%5E%28x%2B1%29%29+=+16%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = -5/12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28-5%2F12%29%2A%288%5E%287%2F12%29%29+=+16%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"2%5E%28-5%2F12%29%2A%288%5E%287%2F12%29%29+=+16%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%285%2F12%29%2A%282%5E%2821%2F12%29%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"2%5E%285%2F12%29%2A%282%5E%2821%2F12%29%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5E%2821%2F12%29%29%2F%282%5E%285%2F12%29%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"%282%5E%2821%2F12%29%29%2F%282%5E%285%2F12%29%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%2816%2F12%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"2%5E%2816%2F12%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%284%2F3%29+=+2%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"2%5E%284%2F3%29+=+2%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );