document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1148727>Question 1148727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=a×b^x has the property that f(3)=12 and f(6)=5. Find a and b. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770066 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13209)</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=770066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Get two equations in a and b using the two given points.<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+a%2Ab%5E3 ALIGN=MIDDLE  ALT=\"12+=+a%2Ab%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+=+a%2Ab%5E6 ALIGN=MIDDLE  ALT=\"5+=+a%2Ab%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Divide the second equation by the first; that eliminates a to give you an equation you can solve for b:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F12+=+b%5E3 ALIGN=MIDDLE  ALT=\"5%2F12+=+b%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+%285%2F12%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"b+=+%285%2F12%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Use that in the first equation to find a:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12+=+a%2Ab%5E3+=+a%285%2F12%29 ALIGN=MIDDLE  ALT=\"12+=+a%2Ab%5E3+=+a%285%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+12%2F%285%2F12%29+=+12%2A%2812%2F5%29+=+144%2F5 ALIGN=MIDDLE  ALT=\"a+=+12%2F%285%2F12%29+=+12%2A%2812%2F5%29+=+144%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "a = 144/5<BR>\n" );
document.write( "b = (5/12)^(1/3)<br><BR>\n" );
document.write( " </SPAN>\n" );
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