document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007538>Question 1007538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function f(x)=2e^3x+1<BR>\n" );
document.write( "a. Find f(.20)<BR>\n" );
document.write( "b. Find the value of x such that f(x)=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623430 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623430\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use your calculator to find<BR>\n" );
document.write( "f(x) = 2*e^3x + 1<BR>\n" );
document.write( "f(.20) = 2*e^(3*.2) + 1 = 4.644<BR>\n" );
document.write( "Then set it equal to 8 and solve<BR>\n" );
document.write( "8 = 2*e^3x + 1<BR>\n" );
document.write( "7 = 2*e^3x<BR>\n" );
document.write( "3.5 = e^3x<BR>\n" );
document.write( "ln 3.5 = 3x<BR>\n" );
document.write( "x = (1/3)ln 3.5 = .418 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );