document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181443>Question 181443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. Discuss the effect of halving the value of x in logarithmic and exponential functions. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136086 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=136086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. Discuss the effect of halving the value of x in logarithmic and exponential functions. <BR>\n" );
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document.write( "Compare y = e^x to y = e^(x/2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%282.7128%29%5Ex%2C%282.7128%29%5E%28x%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%282.7128%29%5Ex%2C%282.7128%29%5E%28x%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note: y = e^x is the red curve<BR>\n" );
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document.write( "Compare y = ln(x) to y = ln(x/2)-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cln%28x%29%2Cln%28x%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cln%28x%29%2Cln%28x%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note: y = ln(x) is the red curve<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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