document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549870>Question 549870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I make the equation y=ab^x with two points, (5,4) and (7,9)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358156 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I make the equation y=ab^x with two points, (5,4) and (7,9)? <BR>\n" );
document.write( "----------<BR>\n" );
document.write( "4 = a*b^5<BR>\n" );
document.write( "9 = a*b^7<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "log(4) = log(a) + 5log(b)<BR>\n" );
document.write( "log(9) = log(a) + 7log(b)<BR>\n" );
document.write( "--------------------------- Subtract<BR>\n" );
document.write( "log(4/9) = -2log(b) = 1/log(b^2)<BR>\n" );
document.write( "b^2 = 9/4<BR>\n" );
document.write( "b = 3/2<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "4 = a*b^5 = a*(3/2)^5<BR>\n" );
document.write( "a = 4*(2/3)^5<BR>\n" );
document.write( "a = 128/243<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "y = (128/243)*(3/2)^x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );