document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=931516>Question 931516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In class we learned a lesson on exponential functions, and all the problems we did solved out very easily and evenly. However this paper my teacher gave me has questions that are not as simple as the ones we learned i class, and I have no idea what to do for the last steps. \r<BR>\n" );
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document.write( "Problem:<BR>\n" );
document.write( "Write an exponential function of the form y=ab^x whose graph passes through the given points. <BR>\n" );
document.write( "1. (1,4), (2,12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565590 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=565590\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find logarithms of both sides of the equation form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28ab%5Ex%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28ab%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, choosing base e just for convenience.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28a%29%2Bln%28b%5Ex%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28a%29%2Bln%28b%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28y%29=ln%28a%29%2Bx%2Aln%28b%29 ALIGN=MIDDLE  ALT=\"ln%28y%29=ln%28a%29%2Bx%2Aln%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28ln%28y%29=x%2Aln%28b%29%2Bln%28a%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28ln%28y%29=x%2Aln%28b%29%2Bln%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is a linear equation with slope ln(b) and vertical axis intercept ln(a).\r<BR>\n" );
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document.write( "Treat your given points properly.  <BR>\n" );
document.write( "The point given (1,4) must be converted into (1,ln(4)).<BR>\n" );
document.write( "The other point given (2,12) must be used as (2,ln(12)).<BR>\n" );
document.write( "The slope will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28b%29=%28ln%2812%29-ln%284%29%29%2F%282-1%29 ALIGN=MIDDLE  ALT=\"ln%28b%29=%28ln%2812%29-ln%284%29%29%2F%282-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Find the value for b using this slope information.\r<BR>\n" );
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document.write( "How to find ln(a):<BR>\n" );
document.write( "Solve the linear form for ln(a) and then choose either of the converted points.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28a%29=ln%28y%29-x%2Aln%28b%29 ALIGN=MIDDLE  ALT=\"ln%28a%29=ln%28y%29-x%2Aln%28b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you would know ln(b) from the previous calculations....<BR>\n" );
document.write( "Find the value for a. </SPAN>\n" );
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