document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61834>Question 61834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Exponential and Logarithmic Functions \r<BR>\n" );
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document.write( "(1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x).  Find each of the following:<BR>\n" );
document.write( "f(3)\r<BR>\n" );
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document.write( "f(-2)\r<BR>\n" );
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document.write( "f(1/2)\r<BR>\n" );
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document.write( "g(2)\r<BR>\n" );
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document.write( "g(-1)\r<BR>\n" );
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document.write( "g(1/3)\r<BR>\n" );
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document.write( "h(2)\r<BR>\n" );
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document.write( "h(1/2)\r<BR>\n" );
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document.write( "(2) Solve each of the following equations for the given variable<BR>\n" );
document.write( "(a) 2^a = 16\r<BR>\n" );
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document.write( "(b) 3^z = 1/9\r<BR>\n" );
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document.write( "(c) 9^n = 3\r<BR>\n" );
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document.write( "(d) (1/5)^x = 25<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 #42744 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=42744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exponential and Logarithmic Functions \r<BR>\n" );
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document.write( "(1)Let f(x) = 2^x , g(x) = (1/8)^x, and h(x) = log sub 2(x).  Find each of the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=2%5E3 ALIGN=MIDDLE  ALT=\"f%283%29=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%283%29=8%29 ALIGN=MIDDLE  ALT=\"highlight%28f%283%29=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29=2%5E%28-2%29 ALIGN=MIDDLE  ALT=\"f%28-2%29=2%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-2%29=1%2F2%5E2 ALIGN=MIDDLE  ALT=\"f%28-2%29=1%2F2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28-2%29=1%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28-2%29=1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%2F2%29=2%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"f%281%2F2%29=2%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%281%2F2%29=sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28f%281%2F2%29=sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%282%29=%281%2F8%29%5E2 ALIGN=MIDDLE  ALT=\"g%282%29=%281%2F8%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%282%29=1%2F64%29 ALIGN=MIDDLE  ALT=\"highlight%28g%282%29=1%2F64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-1%29=%281%2F8%29%5E%28-1%29 ALIGN=MIDDLE  ALT=\"g%28-1%29=%281%2F8%29%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%28-1%29=8%29 ALIGN=MIDDLE  ALT=\"highlight%28g%28-1%29=8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%281%2F3%29=%281%2F8%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"g%281%2F3%29=%281%2F8%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%281%2F3%29=%281%2F2%5E3%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"g%281%2F3%29=%281%2F2%5E3%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%281%2F3%29=1%2F2%5E3%2F3 ALIGN=MIDDLE  ALT=\"g%281%2F3%29=1%2F2%5E3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%281%2F3%29=1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28g%281%2F3%29=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%282%29=log2%282%29 ALIGN=MIDDLE  ALT=\"h%282%29=log2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h%282%29=1%29 ALIGN=MIDDLE  ALT=\"highlight%28h%282%29=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%281%2F2%29=log2%281%2F2%29 ALIGN=MIDDLE  ALT=\"h%281%2F2%29=log2%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28h%281%2F2%29=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28h%281%2F2%29=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "(2) Solve each of the following equations for the given variable<BR>\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ea=16 ALIGN=MIDDLE  ALT=\"2%5Ea=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ea=2%5E4 ALIGN=MIDDLE  ALT=\"2%5Ea=2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=4%29 ALIGN=MIDDLE  ALT=\"highlight%28a=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you can use a calculator and can't figure this out:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%5Ea%29=ln%2816%29 ALIGN=MIDDLE  ALT=\"ln%282%5Ea%29=ln%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aln%282%29=ln%2816%29 ALIGN=MIDDLE  ALT=\"aln%282%29=ln%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aln%282%29%2Fln%282%29=ln%2816%29%2Fln%282%29 ALIGN=MIDDLE  ALT=\"aln%282%29%2Fln%282%29=ln%2816%29%2Fln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=4 ALIGN=MIDDLE  ALT=\"a=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---This can be done for any that you can't solve mentally as long as you have a log capable calculator.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ez=1%2F9 ALIGN=MIDDLE  ALT=\"3%5Ez=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ez=9%5E%28-1%29 ALIGN=MIDDLE  ALT=\"3%5Ez=9%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ez=%283%5E2%29%5E%28-1%29 ALIGN=MIDDLE  ALT=\"3%5Ez=%283%5E2%29%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ez=3%5E%28-2%29 ALIGN=MIDDLE  ALT=\"3%5Ez=3%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28z=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5En+=+3 ALIGN=MIDDLE  ALT=\"9%5En+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%282n%29=3%5E1 ALIGN=MIDDLE  ALT=\"3%5E%282n%29=3%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=1 ALIGN=MIDDLE  ALT=\"2n=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n%2F2=1%2F2 ALIGN=MIDDLE  ALT=\"2n%2F2=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=1%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28n=1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "(d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F5%29%5Ex=25 ALIGN=MIDDLE  ALT=\"%281%2F5%29%5Ex=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-1x%29=5%5E2 ALIGN=MIDDLE  ALT=\"5%5E%28-1x%29=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x=2 ALIGN=MIDDLE  ALT=\"-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "Happy Calculating!!!<BR>\n" );
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