document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168767>Question 168767</A>: <I><SPAN STYLE=\"word-break: break-all;\">   2x<BR>\n" );
document.write( "e    = 8\r<BR>\n" );
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document.write( "not sure how to type it but e raised to the 2x = 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124419 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=124419\">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%282x%29=8 ALIGN=MIDDLE  ALT=\"e%5E%282x%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%282x%29%29=ln%288%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%282x%29%29=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Aln%28e%29=ln%288%29 ALIGN=MIDDLE  ALT=\"2x%2Aln%28e%29=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Rewrite the left side using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%5Ey%29=y%2Aln%28x%29%29 ALIGN=MIDDLE  ALT=\"ln%28x%5Ey%29=y%2Aln%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, pull down the exponent and place it in front of the \"ln\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%281%29=ln%288%29 ALIGN=MIDDLE  ALT=\"2x%281%29=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of \"e\" to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=ln%288%29 ALIGN=MIDDLE  ALT=\"2x=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%288%29%2F2 ALIGN=MIDDLE  ALT=\"x=ln%288%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate x\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%288%29%2F2 ALIGN=MIDDLE  ALT=\"x=ln%288%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.03972 ALIGN=MIDDLE  ALT=\"x=1.03972\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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