document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=244839>Question 244839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%284x%29%2A3%5Ex=100 ALIGN=MIDDLE  ALT=\"2%5E%284x%29%2A3%5Ex=100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I don't know where to start on this one.<BR>\n" );
document.write( "I know it should be a log, but don't know how to set it up. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #179004 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=179004\">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=2%5E%284x%29%2A3%5Ex=100 ALIGN=MIDDLE  ALT=\"2%5E%284x%29%2A3%5Ex=100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%5E%284x%29%2A3%5Ex%29%29=log%2810%2C%28100%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%282%5E%284x%29%2A3%5Ex%29%29=log%2810%2C%28100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the log of both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%5E%284x%29%2A3%5Ex%29%29=2 ALIGN=MIDDLE  ALT=\"log%2810%2C%282%5E%284x%29%2A3%5Ex%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the log base 10 of 100 to get 2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%5E%284x%29%29%29%2Blog%2810%2C%283%5Ex%29%29=2 ALIGN=MIDDLE  ALT=\"log%2810%2C%282%5E%284x%29%29%29%2Blog%2810%2C%283%5Ex%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%2AB%29%29=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2Alog%2810%2C%282%29%29%2Bx%2Alog%2810%2C%283%29%29=2 ALIGN=MIDDLE  ALT=\"4x%2Alog%2810%2C%282%29%29%2Bx%2Alog%2810%2C%283%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponents using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%284%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29%29=2 ALIGN=MIDDLE  ALT=\"x%284%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF 'x'\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2F%284%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29%29 ALIGN=MIDDLE  ALT=\"x=2%2F%284%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29 ALIGN=MIDDLE  ALT=\"4%2Alog%2810%2C%282%29%29%2Blog%2810%2C%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2F%28log%2810%2C%282%5E4%29%29%2Blog%2810%2C%283%29%29%29 ALIGN=MIDDLE  ALT=\"x=2%2F%28log%2810%2C%282%5E4%29%29%2Blog%2810%2C%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Place the coefficient as the exponent using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2F%28log%2810%2C%2816%29%29%2Blog%2810%2C%283%29%29%29 ALIGN=MIDDLE  ALT=\"x=2%2F%28log%2810%2C%2816%29%29%2Blog%2810%2C%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 2 to the 4th power to get 16\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2F%28log%2810%2C%2816%2A3%29%29%29 ALIGN=MIDDLE  ALT=\"x=2%2F%28log%2810%2C%2816%2A3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2Flog%2810%2C%2848%29%29 ALIGN=MIDDLE  ALT=\"x=2%2Flog%2810%2C%2848%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2%2Flog%2810%2C%2848%29%29 ALIGN=MIDDLE  ALT=\"x=2%2Flog%2810%2C%2848%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=1.18959727 ALIGN=MIDDLE  ALT=\"x=1.18959727\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );