document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=716002>Question 716002</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question: find an exponential function going through the points (3,54) and (4,162). Then write your function as a base of e. I do not know how to find the function, or how to write it with base e. \r<BR>\n" );
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document.write( "I attempted this problem by solving for a=33.72 and b=1.17 , but I do not know if that is right.\r<BR>\n" );
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document.write( "I came to have the function y=33.72 (1.17)^x and the base of e function to be f(t)=33.72e^1.17t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439707 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39629)</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=439707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The key to solving this is to try to factor each of the y coordinates.  See how they relate to the x coordinates.  To be thorough, find the complete prime factorization of y coordinate of each point.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54=2%2A3%5E3 ALIGN=MIDDLE  ALT=\"54=2%2A3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=162=2%2A3%5E4 ALIGN=MIDDLE  ALT=\"162=2%2A3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You see a base of 3.  The 2 is working as a coefficient.  Now recheck the points using the complete factorizations of y.<BR>\n" );
document.write( "(3,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E3 ALIGN=MIDDLE  ALT=\"2%2A3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and (4,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%5E4 ALIGN=MIDDLE  ALT=\"2%2A3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >).  <BR>\n" );
document.write( "Each point is found according to a formula, (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A3%5Ex ALIGN=MIDDLE  ALT=\"+2%2A3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >).\r<BR>\n" );
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document.write( "That should be all you need to continue and finish solving the problem.<BR>\n" );
document.write( "(Obvious now is the function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2%2A3%5Ex ALIGN=MIDDLE  ALT=\"f%28x%29=2%2A3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > ). </SPAN>\n" );
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