document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153796>Question 1153796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose g is an exponential function and g(2)=10 and g(3)=19. Write a function formula for g.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776091 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=776091\">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+=+a%2Ab%5Ex%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+a%2Ab%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "g(2) = 10  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%5E2+=+10 ALIGN=MIDDLE  ALT=\"ab%5E2+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > [1]<BR>\n" );
document.write( "g(3) = 19  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%5E3+=+19 ALIGN=MIDDLE  ALT=\"ab%5E3+=+19\"   DISABLED_style= \"max-width:90%; height:auto;\" > [2]<br><BR>\n" );
document.write( "Divide [2] by [1]: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+19%2F10+=+1.9 ALIGN=MIDDLE  ALT=\"b+=+19%2F10+=+1.9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "We could plug that value of b in [1] to find the value of a:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2819%2F10%29%5E2+=+10 ALIGN=MIDDLE  ALT=\"a%2819%2F10%29%5E2+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+10%2F%28361%2F100%29+=+1000%2F361 ALIGN=MIDDLE  ALT=\"a+=+10%2F%28361%2F100%29+=+1000%2F361\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The function is then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%281000%2F361%29%2819%2F10%29%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29+=+%281000%2F361%29%2819%2F10%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "It is probably \"nicer\" if we use x=2 for the \"reference point\"; that will give us the equivalent function<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+10%2A%2819%2F10%29%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+10%2A%2819%2F10%29%5E%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+10%2A1.9%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+10%2A1.9%5E%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );