document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619314>Question 619314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population P (in millions) of California x years after 2000 can be modeled by P=34e^0.013x.<BR>\n" );
document.write( "a.) Use properties of logarithms to solve this equation for x.<BR>\n" );
document.write( "b.) Use your equation to find x when P=38.Interpret your answer.<BR>\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 #389546 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389546\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population P (in millions) of California x years after 2000 can be modeled by P=34e^0.013x.<BR>\n" );
document.write( "a.) Use properties of logarithms to solve this equation for x.<BR>\n" );
document.write( "P=34e^(0.013x)<BR>\n" );
document.write( "P/34 = e^(0.013x)<BR>\n" );
document.write( "ln(P/34) = 0.013x<BR>\n" );
document.write( "ln(P/34)/0.013 = x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b.) Use your equation to find x when P=38.Interpret your answer.<BR>\n" );
document.write( "ln(P/34)/0.013 = x<BR>\n" );
document.write( "ln(38/34)/0.013 = x<BR>\n" );
document.write( ".11123/0.013 = x<BR>\n" );
document.write( "8.56 = x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Year: 2000+8.56 = 2008.56<BR>\n" );
document.write( "The population of California will be 38 million around mid-year of 2008. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );