document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208086>Question 208086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many years  will it take for percent of spam to reach 95% and spammers dont change.?\r<BR>\n" );
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document.write( "p=13+45ln (x)\r<BR>\n" );
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document.write( "p=95\r<BR>\n" );
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document.write( "95-13=45ln(x)\r<BR>\n" );
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document.write( "I got this far. I'm so confused! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157395 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=157395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=95-13=45ln%28x%29+ ALIGN=MIDDLE  ALT=\"95-13=45ln%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82=45ln%28x%29 ALIGN=MIDDLE  ALT=\"82=45ln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82%2F45=ln%28x%29 ALIGN=MIDDLE  ALT=\"82%2F45=ln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 45.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.822=ln%28x%29 ALIGN=MIDDLE  ALT=\"1.822=ln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E1.822=x ALIGN=MIDDLE  ALT=\"e%5E1.822=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ln%28x%29 ALIGN=MIDDLE  ALT=\"y=ln%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ey=x ALIGN=MIDDLE  ALT=\"e%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rewrite the equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.184=x ALIGN=MIDDLE  ALT=\"6.184=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 'e' to the 1.822th power to get 6.184\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6.184 ALIGN=MIDDLE  ALT=\"x=6.184\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that it will take about 6 years for the percent of spam to reach 95%. </SPAN>\n" );
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