document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=992730>Question 992730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I think this question requires logarithms\r<BR>\n" );
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document.write( "Given the equation y=a*b^x find the values of a and b for the curve that passes through the points (-2, 1) and (2,5)\r<BR>\n" );
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document.write( "Sorry if it's the wrong section, but I don't really know what to do. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #612234 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=612234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your model in general <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;\" > is useful also for the logarithms of its left and right side<BR>\n" );
document.write( "members.<BR>\n" );
document.write( "Choose either base 10 or e.  Here will be using base 10.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cy%29=log%2810%2C%28ab%5Ex%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2Cy%29=log%2810%2C%28ab%5Ex%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cy%29=log%2810%2Ca%29%2Bx%2Alog%2810%2Cb%29 ALIGN=MIDDLE  ALT=\"log%2810%2Cy%29=log%2810%2Ca%29%2Bx%2Alog%2810%2Cb%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%28log%2810%2Cy%29=x%2Alog%2810%2Cb%29%2Blog%2810%2Ca%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28log%2810%2Cy%29=x%2Alog%2810%2Cb%29%2Blog%2810%2Ca%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You now want to adjust your given points to use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cy%29 ALIGN=MIDDLE  ALT=\"log%2810%2Cy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > instead of the y coordinates as given<BR>\n" );
document.write( "because that is how the equation has been treated.  Your points to use in the green-outlined equation<BR>\n" );
document.write( "must now be  (-2, log(10,1)) and  (2, log(10,5)).<BR>\n" );
document.write( "Those points, if decimal form will help,  (-2,0) and  (2,0.6990).<BR>\n" );
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document.write( "Again, these points are for the LINEAR equation outlined in green - NOT for the original model<BR>\n" );
document.write( "of <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;\" >.\r<BR>\n" );
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document.write( "Now you have the two points, treated for their logarithms of y, and you can find the<BR>\n" );
document.write( "vertical axis intercept which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Ca%29 ALIGN=MIDDLE  ALT=\"log%2810%2Ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the slope which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Cb%29 ALIGN=MIDDLE  ALT=\"log%2810%2Cb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "That allows you to find a and b.<BR>\n" );
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