document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076016>Question 1076016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The values of y, y0, and t are given. For an equation of the form y=y0e^kt, give the exact value of k in terms of natural logarithms. <BR>\n" );
document.write( "y0=70, t=110, y=35\r<BR>\n" );
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document.write( "k=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #690719 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=690719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=y%5B0%5De%5E%28kt%29 ALIGN=MIDDLE  ALT=\"y=y%5B0%5De%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , give the exact value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" > in terms of natural logarithms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B0%5D=70 ALIGN=MIDDLE  ALT=\"y%5B0%5D=70\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=110 ALIGN=MIDDLE  ALT=\"t=110\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=35 ALIGN=MIDDLE  ALT=\"y=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >=? \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35=70e%5E%28k%2A110%29 ALIGN=MIDDLE  ALT=\"35=70e%5E%28k%2A110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%2F70=e%5E%28110k%29 ALIGN=MIDDLE  ALT=\"35%2F70=e%5E%28110k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2=e%5E%28110k%29 ALIGN=MIDDLE  ALT=\"1%2F2=e%5E%28110k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .........take natural logarithms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%2F2%29=ln%28e%5E%28110k%29%29 ALIGN=MIDDLE  ALT=\"ln%281%2F2%29=ln%28e%5E%28110k%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%29-ln%282%29=%28110k%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%281%29-ln%282%29=%28110k%29ln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%29=0 ALIGN=MIDDLE  ALT=\"ln%281%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-ln%282%29=110k ALIGN=MIDDLE  ALT=\"-ln%282%29=110k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-ln%282%29%2F110 ALIGN=MIDDLE  ALT=\"k=-ln%282%29%2F110\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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