document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391831>Question 391831</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you find a point of intersection on y=3e^2x-5  and y=2x^2+3x+7\r<BR>\n" );
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document.write( "And How do you use a natural logarithm to solve a exponential equation<BR>\n" );
document.write( "4^-x=1/16<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #278119 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=278119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you find a point of intersection on y=3e^2x-5  and y=2x^2+3x+7<BR>\n" );
document.write( "When x is in the exponent and also part of another equation, you have to use graphicap or iterative methods.<BR>\n" );
document.write( "By graphing it: x =~ 3.8973<BR>\n" );
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document.write( "And How do you use a natural logarithm to solve a exponential equation<BR>\n" );
document.write( "4^-x=1/16<BR>\n" );
document.write( "-x*ln(4) = ln(1/16)<BR>\n" );
document.write( "x = -ln(1/16)/ln(4)<BR>\n" );
document.write( "x = 2<BR>\n" );
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document.write( "The result is the same with common logs.<BR>\n" );
document.write( "And, 16 = 4^2<BR>\n" );
document.write( "1/16 = 4^-2<BR>\n" );
document.write( "--> x = 2 without using logs. </SPAN>\n" );
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