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 #358154 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=358154\">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, <BR>\n" );
document.write( "(5,4) and (7,9)?<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Solve for a and b:<BR>\n" );
document.write( "Using (7,9) you get 9 = ab^7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Using (5,4) you get 4 = ab^5<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Divide the lower into the higher equation:<BR>\n" );
document.write( "(9/4) = b^2<BR>\n" );
document.write( "b = 3/2<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Substitute for \"b\" and solve for \"a\":<BR>\n" );
document.write( "9 = ab^7<BR>\n" );
document.write( "9 = a(3/2)^7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a = 9/(3/2)^7 = 0.5267<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (0.5267)(3/2)^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" );