document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716011>Question 716011</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equations by finding the exact solution  ln e = ln  5  x  &#8722; ln e </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439692 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=439692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Context suggests e is the base for the Natural logarithm.  In this equation, ln(e) = 1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " ln e = ln 5 x &#8722; ln e<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=ln%285x%29-1 ALIGN=MIDDLE  ALT=\"1=ln%285x%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=ln%285x%29 ALIGN=MIDDLE  ALT=\"2=ln%285x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%285x%29=2 ALIGN=MIDDLE  ALT=\"e%5E%285x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From that we could take logarithm of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2Aln%28e%29=ln%282%29 ALIGN=MIDDLE  ALT=\"5x%2Aln%28e%29=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=ln%282%29 ALIGN=MIDDLE  ALT=\"5x=ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=%281%2F5%29ln%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%281%2F5%29ln%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is easily computed using calculator. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );