document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251524>Question 251524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Express as a difference of logarithms.<BR>\n" );
document.write( "log g m/4\r<BR>\n" );
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document.write( "2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by<BR>\n" );
document.write( "S(t) = 100 &#8729; 6t .<BR>\n" );
document.write( "What is the doubling time for the yearly sales? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183345 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=183345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Express as a difference of logarithms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C+%28m%2F4%29%29 ALIGN=MIDDLE  ALT=\"log%28g%2C+%28m%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a simple problem if you know the properties of logarithms. One of them is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This says we can write a log of a quotient as the difference of the logs of the dividend and divisor. We have the log of a quotient and we want to write it as a difference of logs:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28g%2C+%28m%2F4%29%29+=+log%28g%2C+%28m%29%29+-+log%28g%2C+%284%29%29 ALIGN=MIDDLE  ALT=\"log%28g%2C+%28m%2F4%29%29+=+log%28g%2C+%28m%29%29+-+log%28g%2C+%284%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "2.Yearly sales of an electronic device S(t), in millions of dollars, t years after 1998 can be estimated by<BR>\n" );
document.write( "S(t) = 100 &#8729; 6t .<BR>\n" );
document.write( "What is the doubling time for the yearly sales?<BR>\n" );
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document.write( "This problem makes no sense. S(t) is the equation of a line with a negative slope. A line with a negative slope means that S(t) is constantly decreasing. S(t) will never double. In fact it will never go up at all! </SPAN>\n" );
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