document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=307675>Question 307675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of bacteria present in a culture after t minutes is given as B=10e^kt. If there are 6703 bacteria present after 5 minutes, kind k. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #220074 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=220074\">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=B=10e%5E%28kt%29 ALIGN=MIDDLE  ALT=\"B=10e%5E%28kt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6703=+10e%5E%285k%29 ALIGN=MIDDLE  ALT=\"6703=+10e%5E%285k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, solve for k.\r<BR>\n" );
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document.write( "Divide both sides by 10:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=670.3=+e%5E%285k%29 ALIGN=MIDDLE  ALT=\"670.3=+e%5E%285k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the ln of each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28670.3%29=+ln%28e%5E%285k%29%29=+5k ALIGN=MIDDLE  ALT=\"ln%28670.3%29=+ln%28e%5E%285k%29%29=+5k\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=+%28ln%28670.3%29%2F5%29 ALIGN=MIDDLE  ALT=\"k=+%28ln%28670.3%29%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using a calculator:<BR>\n" );
document.write( "k=1.301545075, round off to k=1.30.\r<BR>\n" );
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document.write( "I have quite a bit of explanation with examples solved in LIVING COLOR on my own website.  Please go to \"www2.seminolestate.edu/rrapalje\".  Look for the links on my Homepage \"Basic, Intermediate, and College Algebra: One Step at a Time\" and also \"MATH IN LIVING COLOR\", and look under \"College Algebra\" (Chapter 4), Section 4.05 Applications--Growth and Decay.  The explanations on the MATH IN LIVING COLOR pages are complete with use of the GRAPHING CALCULATOR (TI84).\r<BR>\n" );
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document.write( "I also have an entire explanation of Logarithms on video from my own teaching in class before I retired a few years ago.  To see the videos, look for \"Rapalje Videos in Living Color\", and see College Algebra for the topic of Logarithms.  \r<BR>\n" );
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document.write( "I think you will find the explanations, both written and video, much easier to understand than traditional textbooks.  My own students did!!\r<BR>\n" );
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document.write( "Dr. Robert J. Rapalje, Retired<BR>\n" );
document.write( "Seminole State College of Florida<BR>\n" );
document.write( "Altamonte Springs Campus    <BR>\n" );
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