document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256102>Question 256102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4(2^x)+31(2^x)-8=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188262 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=188262\">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=4%282%5Ex%29%2B31%282%5Ex%29-8=0 ALIGN=MIDDLE  ALT=\"4%282%5Ex%29%2B31%282%5Ex%29-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5Ex ALIGN=MIDDLE  ALT=\"z=2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4z%2B31z-8=0 ALIGN=MIDDLE  ALT=\"4z%2B31z-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace each <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex ALIGN=MIDDLE  ALT=\"2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > term with 'z'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35z-8=0 ALIGN=MIDDLE  ALT=\"35z-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35z=8 ALIGN=MIDDLE  ALT=\"35z=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 8 to both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=8%2F35 ALIGN=MIDDLE  ALT=\"z=8%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 35.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex=8%2F35 ALIGN=MIDDLE  ALT=\"2%5Ex=8%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%5Ex ALIGN=MIDDLE  ALT=\"z=2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ex=y ALIGN=MIDDLE  ALT=\"b%5Ex=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be rewritten as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28y%29%29=x ALIGN=MIDDLE  ALT=\"log%28b%2C%28y%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%288%2F35%29%29=x ALIGN=MIDDLE  ALT=\"log%282%2C%288%2F35%29%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the property shown above to rewrite the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%282%2C%288%2F35%29%29 ALIGN=MIDDLE  ALT=\"x=log%282%2C%288%2F35%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the equation.\r<BR>\n" );
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document.write( "So the exact answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%282%2C%288%2F35%29%29 ALIGN=MIDDLE  ALT=\"x=log%282%2C%288%2F35%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2.12928 ALIGN=MIDDLE  ALT=\"x=-2.12928\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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