document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550083>Question 550083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Happy Holidays  I have two that I am can not figure out  could you please help<BR>\n" );
document.write( "thanks\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If bacteria cultures increase at a rate of 8.66% in an hour, how long will it take the culture to quadruple in size?\r<BR>\n" );
document.write( "\n" );
document.write( "	35 hours		46 hours<BR>\n" );
document.write( "	12 hours		16 hours\r<BR>\n" );
document.write( "\n" );
document.write( "those are my choices (multiple choice)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "logb x = 3.1, logb y = 2.5, logb z = 2.2\r<BR>\n" );
document.write( "\n" );
document.write( "Evaluate:<BR>\n" );
document.write( "logb x^4y^2/&#8730;z\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358396 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If bacteria cultures increase at a rate of 8.66% in an hour, how long will it take the culture to quadruple in size?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Amount = start*(1 + 0.0866)^t (t in hours)<BR>\n" );
document.write( "Amount/start = 4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "4 = (1.0866)^t<BR>\n" );
document.write( "log(4) = t*log(1.0866)<BR>\n" );
document.write( "t = log(4)/log(1.0866)<BR>\n" );
document.write( "t =~ 16.69 hours<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "logb x = 3.1, logb y = 2.5, logb z = 2.2 <BR>\n" );
document.write( "Evaluate:<BR>\n" );
document.write( "logb x^4y^2/&#8730;z <BR>\n" );
document.write( "------------<BR>\n" );
document.write( "= 4*log(x) + 2log(y) - (1/2)log(z)<BR>\n" );
document.write( "Just add those. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );