document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27166>Question 27166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the number of viruses present in a sample is modeled by the exponential function \"f(t) = 10t\", where t is the elapsed time in minutes. How would you apply logarithms to determine when the sample will grow to 5 billion viruses? \r<BR>\n" );
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document.write( "~I am not sure how to answer this question...can someone please help me?! Thank you!~ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14782 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=14782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your equation is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+10%5Et ALIGN=MIDDLE  ALT=\"f%28t%29+=+10%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You want to know when f(t) = 5 billion<BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28t%29+=+5%2A10%5E9 ALIGN=MIDDLE  ALT=\"f%28t%29+=+5%2A10%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" > in scientific notation<BR>\n" );
document.write( "so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A10%5E9+=+10%5Et ALIGN=MIDDLE  ALT=\"5%2A10%5E9+=+10%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take the log of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2A10%5E9%29+=+log%2810%5Et%29 ALIGN=MIDDLE  ALT=\"log%285%2A10%5E9%29+=+log%2810%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use the rules<BR>\n" );
document.write( "log(a*b*c* ... ) = log(a) + log(b) + log(c) + ...<BR>\n" );
document.write( "and <BR>\n" );
document.write( "log(10^k) = k<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2A10%5E9%29+=+log%2810%5Et%29 ALIGN=MIDDLE  ALT=\"log%285%2A10%5E9%29+=+log%2810%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%29+%2B+log%2810%5E9%29+=+log%2810%5Et%29 ALIGN=MIDDLE  ALT=\"log%285%29+%2B+log%2810%5E9%29+=+log%2810%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%29+%2B+9+=+t ALIGN=MIDDLE  ALT=\"log%285%29+%2B+9+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );