document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131700>Question 131700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey heres another problem i need help on.  The chapter im on is called exponential and logarithmic functions. The problem is on writing an exponential function from 2 points on the functions graph.<BR>\n" );
document.write( "heres the problem\r<BR>\n" );
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document.write( "Write an exponential function of the form y=ab^x that includes the given points: (-1, 2/9) (1,2)\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96155 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=96155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <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;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9=ab%5E%28-1%29 ALIGN=MIDDLE  ALT=\"2%2F9=ab%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=-1, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%2F9 ALIGN=MIDDLE  ALT=\"y=2%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F9=a%2Fb ALIGN=MIDDLE  ALT=\"2%2F9=a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ab%5E%28-1%29 ALIGN=MIDDLE  ALT=\"ab%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b=9a ALIGN=MIDDLE  ALT=\"2b=9a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9a%2F2 ALIGN=MIDDLE  ALT=\"b=9a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate b\r<BR>\n" );
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document.write( "<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;\" > Now go back to the original equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=ab%5E1 ALIGN=MIDDLE  ALT=\"2=ab%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x=1 and y=2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=ab ALIGN=MIDDLE  ALT=\"2=ab\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=a%289a%2F2%29 ALIGN=MIDDLE  ALT=\"2=a%289a%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9a%2F2 ALIGN=MIDDLE  ALT=\"b=9a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=9a%5E2 ALIGN=MIDDLE  ALT=\"4=9a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F9=a%5E2 ALIGN=MIDDLE  ALT=\"4%2F9=a%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%2F9%29=a ALIGN=MIDDLE  ALT=\"sqrt%284%2F9%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%2F3 ALIGN=MIDDLE  ALT=\"a=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=9%282%2F3%29%2F2 ALIGN=MIDDLE  ALT=\"b=9%282%2F3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug this answer into this equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=%2818%2F3%29%2F2 ALIGN=MIDDLE  ALT=\"b=%2818%2F3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=6%2F2 ALIGN=MIDDLE  ALT=\"b=6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce again\r<BR>\n" );
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document.write( "So our values are\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2%2F3 ALIGN=MIDDLE  ALT=\"a=2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3 ALIGN=MIDDLE  ALT=\"b=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which means that the equation is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%282%2F3%29%2A3%5Ex ALIGN=MIDDLE  ALT=\"y=%282%2F3%29%2A3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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