document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119762>Question 119762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I hope you please can help me with this one; \r<BR>\n" );
document.write( "\n" );
document.write( "I have found this equation from a graph I created: y = 50,88e^-0,01x<BR>\n" );
document.write( "I already know that y = 50, so I have to find the x. I know I have to divide/multiply with ln or something like that, but I can't come any further on my own.\r<BR>\n" );
document.write( "\n" );
document.write( "I would really appriciate your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87755 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I have found this equation from a graph I created:\r<BR>\n" );
document.write( "\n" );
document.write( " y = 50.88e^-0,01x<BR>\n" );
document.write( "I already know that y = 50, so I have to find the x. <BR>\n" );
document.write( ":<BR>\n" );
document.write( "50.88e^-0.01x = 50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Divide both sides by 50.88<BR>\n" );
document.write( "e^-0.01x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F50.88 ALIGN=MIDDLE  ALT=\"50%2F50.88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using nat logs;<BR>\n" );
document.write( "ln(e^-0.01x) = ln(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F50.88 ALIGN=MIDDLE  ALT=\"50%2F50.88\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write the log equiv of exponents<BR>\n" );
document.write( "-.01x*n(e^) = ln(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F50.88 ALIGN=MIDDLE  ALT=\"50%2F50.88\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the ln of both sides (we know ln of e = 1), so we have:<BR>\n" );
document.write( "-.01x = -.0174469<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-.0174469%29%2F%28-.01%29 ALIGN=MIDDLE  ALT=\"%28-.0174469%29%2F%28-.01%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = +1.74469<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution on a good calc: enter 50.88(e^(-.01*1.74469)) = 50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Did this help? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );