document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198693>Question 1198693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I need help with this please. <BR>\n" );
document.write( "The value of China’s exports of automobiles and parts (in billions of dollars) is approximately f(x) =1.8208_e^0.3387x, where x=0 corresponds to 1998. In what year did/will the exports reach $6.4 billion? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832322 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=1.8208%2Ae%5E%280.3387x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=1.8208%2Ae%5E%280.3387x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1998 ALIGN=MIDDLE  ALT=\"1998\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "\n" );
document.write( "In what year did/will the exports reach $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.4 ALIGN=MIDDLE  ALT=\"6.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > billion?\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=6.4 ALIGN=MIDDLE  ALT=\"f%28x%29+=6.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.4=1.8208%2Ae%5E%280.3387x%29 ALIGN=MIDDLE  ALT=\"6.4=1.8208%2Ae%5E%280.3387x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........take natural log of both sides\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286.4%29=ln%281.8208%2Ae%5E%280.3387x%29%29 ALIGN=MIDDLE  ALT=\"ln%286.4%29=ln%281.8208%2Ae%5E%280.3387x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286.4%29=ln%281.8208%29%2Bln%28e%5E%280.3387x%29%29 ALIGN=MIDDLE  ALT=\"ln%286.4%29=ln%281.8208%29%2Bln%28e%5E%280.3387x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286.4%29-ln%281.8208%29=%280.3387x%29ln%28e%29 ALIGN=MIDDLE  ALT=\"ln%286.4%29-ln%281.8208%29=%280.3387x%29ln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29=1 ALIGN=MIDDLE  ALT=\"ln%28e%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286.4%29-ln%281.8208%29=0.3387x ALIGN=MIDDLE  ALT=\"ln%286.4%29-ln%281.8208%29=0.3387x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28ln%286.4%29-ln%281.8208%29%29%2F0.3387 ALIGN=MIDDLE  ALT=\"x=%28ln%286.4%29-ln%281.8208%29%29%2F0.3387\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3.71131 ALIGN=MIDDLE  ALT=\"x=3.71131\"   DISABLED_style= \"max-width:90%; height:auto;\" >years \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > years <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > months <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > days\r<BR>\n" );
document.write( "\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1998 ALIGN=MIDDLE  ALT=\"1998\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3.71131 ALIGN=MIDDLE  ALT=\"x=3.71131\"   DISABLED_style= \"max-width:90%; height:auto;\" > corresponds to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1998%2B3 ALIGN=MIDDLE  ALT=\"1998%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >years <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > months <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > days\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2001 ALIGN=MIDDLE  ALT=\"2001\"   DISABLED_style= \"max-width:90%; height:auto;\" >year <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" > months <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > days\r<BR>\n" );
document.write( "\n" );
document.write( " the exports will  reach $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.4 ALIGN=MIDDLE  ALT=\"6.4\"   DISABLED_style= \"max-width:90%; height:auto;\" > billion in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2001 ALIGN=MIDDLE  ALT=\"2001\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );