document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=315266>Question 315266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate the exponential equation for three positive values of x, three negative values of x and at x=0; transform the second expression into the equivalent lagarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. show your work. use the resulting ordered pairs to plot the graph of each function;\r<BR>\n" );
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document.write( "y= 2^x+2<BR>\n" );
document.write( "x= 4^y+2<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 #225586 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> : evaluate the exponential equation for three positive values of x, three negative values of x and at x=0; <BR>\n" );
document.write( "y = 2^x + 2<BR>\n" );
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document.write( "Three positive values for x<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "y = 2^2 + 2<BR>\n" );
document.write( "y = 5<BR>\n" );
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document.write( "x=3<BR>\n" );
document.write( "y = 2^3 + 2<BR>\n" );
document.write( "y = 8 + 2<BR>\n" );
document.write( "y = 10<BR>\n" );
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document.write( "x=4<BR>\n" );
document.write( "y = 2^4 + 2<BR>\n" );
document.write( "y = 16 + 2<BR>\n" );
document.write( "y = 18<BR>\n" );
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document.write( "Three negative values for x<BR>\n" );
document.write( "x=-2<BR>\n" );
document.write( "y = 2^-2 + 2<BR>\n" );
document.write( "y = .25 + 2<BR>\n" );
document.write( "y = 2.25<BR>\n" );
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document.write( "x=-3<BR>\n" );
document.write( "y = 2^-3 + 2<BR>\n" );
document.write( "y = .125 + 2<BR>\n" );
document.write( "y = 2.125<BR>\n" );
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document.write( "x=-4<BR>\n" );
document.write( "y = 2^4 + 2<BR>\n" );
document.write( "y = .0625 + 2<BR>\n" );
document.write( "y = 2.0625<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Chart<BR>\n" );
document.write( " x | y<BR>\n" );
document.write( "------<BR>\n" );
document.write( "-4 | 2.0625<BR>\n" );
document.write( "-3 | 2.125<BR>\n" );
document.write( "-2 | 2.25<BR>\n" );
document.write( " 2 | 5<BR>\n" );
document.write( " 3 | 10<BR>\n" );
document.write( " 4 | 18\r<BR>\n" );
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document.write( "The graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-6%2C+20%2C+2%5Ex%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-6%2C+20%2C+2%5Ex%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( ":<BR>\n" );
document.write( "transform the second expression into the equivalent logarithmic equation;<BR>\n" );
document.write( " and evaluate the logarithmic equation for three values of x that are greater<BR>\n" );
document.write( " than 1, three values of x that are between 0 and 1, and at x=1.<BR>\n" );
document.write( " show your work. use the resulting ordered pairs to plot the graph of each function;<BR>\n" );
document.write( " <BR>\n" );
document.write( "x = 4^y+2<BR>\n" );
document.write( "4^y = x - 2<BR>\n" );
document.write( "ln(4^y) = ln(x-2)<BR>\n" );
document.write( "y*ln(4) = ln(x-2)<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x-2%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%28x-2%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "For 3 values greater than 1<BR>\n" );
document.write( "x=3<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283-2%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%283-2%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%281%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%281%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2Fln%284%29 ALIGN=MIDDLE  ALT=\"0%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%284-2%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%284-2%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%282%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = .5<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%286-2%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%286-2%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%284%29%2Fln%284%29 ALIGN=MIDDLE  ALT=\"ln%284%29%2Fln%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You cannot evaluate any values 2 or below (log of a negative number)<BR>\n" );
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document.write( "Chart<BR>\n" );
document.write( "x | y<BR>\n" );
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document.write( " 3 | 0<BR>\n" );
document.write( " 4 | .5<BR>\n" );
document.write( " 6 | 1<BR>\n" );
document.write( "The graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-2%2C+8%2C+-2%2C+4%2C+ln%28x-2%29%2Fln%284%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-2%2C+8%2C+-2%2C+4%2C+ln%28x-2%29%2Fln%284%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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