document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000526>Question 1000526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exponential function of the given form that contains the given points.<BR>\n" );
document.write( "Form: f(x)= c*(a^x)<BR>\n" );
document.write( "Points: (0,4) and (4, 324)<BR>\n" );
document.write( "I know the answer is f(x)=4*3^x,<BR>\n" );
document.write( "Please explain, thanks!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617926 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=617926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exponential function of the given form that contains the given points.<BR>\n" );
document.write( "Form: f(x)= c*(a^x)<BR>\n" );
document.write( "Points: (0,4) and (4, 324)<BR>\n" );
document.write( "I know the answer is f(x)=4*3^x,<BR>\n" );
document.write( "Form: y = c*a^x<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Using (4,324) and (0,4) you get: <BR>\n" );
document.write( "324 = c*a^4<BR>\n" );
document.write( "4   = c*a^0<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Note:: c = 4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute and solve for \"c\":<BR>\n" );
document.write( "324 = 4*a^4<BR>\n" );
document.write( "81 = a^4<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Therefore y = 4*3^x<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );