document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192789>Question 1192789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a formula for the exponential function that satisfies g(0)=13 and g(-2)=13/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824689 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=824689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=ab%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Knowing g(0), we can find the value of a quickly.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%280%29=ab%5E0=a%281%29=a=13 ALIGN=MIDDLE  ALT=\"g%280%29=ab%5E0=a%281%29=a=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So a=13; the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=13b%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=13b%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Use that in the equation for the other given point to find b.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-2%29=13%28b%5E%28-2%29%29=13%2F6 ALIGN=MIDDLE  ALT=\"g%28-2%29=13%28b%5E%28-2%29%29=13%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28-2%29=1%2F6 ALIGN=MIDDLE  ALT=\"b%5E%28-2%29=1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=6 ALIGN=MIDDLE  ALT=\"b%5E2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=sqrt%286%29 ALIGN=MIDDLE  ALT=\"b=sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The exponential function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=13%28%28sqrt%286%29%29%5Ex%29 ALIGN=MIDDLE  ALT=\"g%28x%29=13%28%28sqrt%286%29%29%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );