document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81497>Question 81497</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078656095/algebrahomeworkh>Glencoe Mathmatics Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve this problem:<BR>\n" );
document.write( "2+6e(4x)=19   (the 4x is the exponent)\r<BR>\n" );
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document.write( "I have come up with these possible answers:<BR>\n" );
document.write( ".2604, .5074, .4907, or 2.8333 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #58373 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a classic problem of \"undo-ing\" the operations of math in order to solve for x.\r<BR>\n" );
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document.write( "2+6e(4x)=19 \r<BR>\n" );
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document.write( "First, you need to \"undo\" the 2 that is added to the term that contains the x.  Of course, you do this by subtracting 2 from each side of the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6e%5E%284x%29+=+17 ALIGN=MIDDLE  ALT=\"6e%5E%284x%29+=+17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, you must \"undo\" the 6 that is multiplied times the term containing the x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%284x%29+=+17%2F6 ALIGN=MIDDLE  ALT=\"e%5E%284x%29+=+17%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, you must \"undo\" the \"e\" raised to the power.  The inverse of \"e\" raised to the power is the \"ln\" function, so you must take the \"ln\" of each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%284x%29%29+=+ln%2817%2F6%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%284x%29%29+=+ln%2817%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x=ln%2817%2F6%29 ALIGN=MIDDLE  ALT=\"4x=ln%2817%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Finally, undo multiplication of the x times 4 by either dividing both sides by 4 or by multiplying both sides times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Final answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+%28ln%2817%2F6%29%29%2F4+ ALIGN=MIDDLE  ALT=\"x=+%28ln%2817%2F6%29%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+.2604 ALIGN=MIDDLE  ALT=\"x=+.2604\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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