document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193961>Question 1193961</A>: <I><SPAN STYLE=\"word-break: break-all;\">  find exponential equation passes through points(-2,6)and (3,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826052 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "An exponential function is one of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ab%5Ex ALIGN=MIDDLE  ALT=\"y=ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "Given two ordered (x,y) pairs that satisfy the equation, the standard path to the solution starts with plugging each set of x and y values in the general form to get two equations in the parameters a and b.  For this example...<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6=ab%5E%28-2%29 ALIGN=MIDDLE  ALT=\"6=ab%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=ab%5E3 ALIGN=MIDDLE  ALT=\"1=ab%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then dividing one equation by the other eliminates parameter a, allowing you to solve for b:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6=b%5E5 ALIGN=MIDDLE  ALT=\"1%2F6=b%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=6%5E%281%2F5%29 ALIGN=MIDDLE  ALT=\"b=6%5E%281%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then you can plug this value of b into either original equation to solve for a.<br><BR>\n" );
document.write( "I'll let you do the work.  Since the value of b is the 5th root of 6, use a calculator....<br><BR>\n" );
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