document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156278>Question 156278</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions and post to the discussion forum. Discuss these functions and their graphs with your classmates </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115088 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=115088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Example of an Exponential function: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3%5Ex ALIGN=MIDDLE  ALT=\"f%28x%29=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now convert the Exponential function to a Logarithmic function using the property <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ex=y ALIGN=MIDDLE  ALT=\"b%5Ex=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > <====> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28y%29%29=x ALIGN=MIDDLE  ALT=\"log%28b%2C%28y%29%29=x\"   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=g%28x%29=log%283%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"g%28x%29=log%283%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "Now let's graph the exponential function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3%5Ex ALIGN=MIDDLE  ALT=\"f%28x%29=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and the logarithmic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=log%283%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"g%28x%29=log%283%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex%2C+log%283%2C%28x%29%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+3%5Ex%2C+log%283%2C%28x%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the logarithmic function is simply a reflection of the exponential function over the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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