document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979401>Question 979401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation for an exponential function that passes through the pair of points given below. <BR>\n" );
document.write( "(-2,2) and (3,3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600666 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=600666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pick your base for how to find logarithms, either 10 or e.  Use this for the function:  <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;\" >.  The variable b is the base for the function definition, which will not be expected to be 10 or e.\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%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;\" >\r<BR>\n" );
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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;\" >.<BR>\n" );
document.write( "This is a linear equation with slope <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;\" > and vertical axis intercept  <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;\" >.\r<BR>\n" );
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document.write( "The way you use the given points must now be as  (-2, log(10,2)) and (3, log(10,3)).\r<BR>\n" );
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document.write( "Now use the two points to form a system of two linear equations, and use your already existing skills for linear equations to find ... a and b.<BR>\n" );
document.write( "Base ten was chosen for computational purposes.  You should not expect b to be 10. </SPAN>\n" );
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