document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745718>Question 745718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this exponential equation as both an exact expression and as a decimal approximation e^(3x+e)=121^(5x+6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453973 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=453973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve this exponential equation as both an exact expression and as a decimal approximation e^(3x+e)=121^(5x+6)<BR>\n" );
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document.write( "e^(3x+e)=121^(5x+6)<BR>\n" );
document.write( "(3x+e)*ln(e) = (5x+6)*ln(121)<BR>\n" );
document.write( "3x + e = (5x+6)*ln(121) = 5x*ln(121) + 6ln(121)<BR>\n" );
document.write( "3x - 5x*ln(121) = 6ln(121) - e<BR>\n" );
document.write( "x*(3 - 5ln(121) = 6ln(121) - e<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%286ln%28121%29+-+e%29%2F%283+-+5ln%28121%29%29 ALIGN=MIDDLE  ALT=\"x+=+%286ln%28121%29+-+e%29%2F%283+-+5ln%28121%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > exact solution<BR>\n" );
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document.write( "You can do the approximation with a calculator.<BR>\n" );
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