document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1971>Question 1971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x e^(2In(2x)) = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #781 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=781\">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=e%5E%282ln%282x%29%29+=+4 ALIGN=MIDDLE  ALT=\"e%5E%282ln%282x%29%29+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take logs of both sides, to remove the e power\r<BR>\n" );
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document.write( "2ln(2x) = ln4<BR>\n" );
document.write( "2ln(2x) = ln<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2ln(2x) = 2ln2<BR>\n" );
document.write( "ln(2x) = ln2\r<BR>\n" );
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document.write( "raise everything to power of e, to remove the logs\r<BR>\n" );
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document.write( "2x = 2<BR>\n" );
document.write( "x=1\r<BR>\n" );
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document.write( "CHECK...always a good thing to do.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%282ln%282%29%29 ALIGN=MIDDLE  ALT=\"e%5E%282ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug this into your calculator and you get 4, so x=1 is correct.\r<BR>\n" );
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document.write( "or manually :-): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln%282%5E2%29%29 ALIGN=MIDDLE  ALT=\"e%5E%28ln%282%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln%284%29%29 ALIGN=MIDDLE  ALT=\"e%5E%28ln%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln%28x%29%29 ALIGN=MIDDLE  ALT=\"e%5E%28ln%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > just leaves x, so ours just leaves the 4 --> the answer\r<BR>\n" );
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document.write( "cheers<BR>\n" );
document.write( "jon </SPAN>\n" );
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