document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172949>Question 172949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the following expressions:\r<BR>\n" );
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document.write( "log3 81\r<BR>\n" );
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document.write( "log5 1/25\r<BR>\n" );
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document.write( "ln e^4\r<BR>\n" );
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document.write( "log.01 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127818 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=127818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate: Remember, \"the logarithm of a number is the power to which the base must be raised to equal the number\".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log%5B3%5D%2881%29+=+x ALIGN=MIDDLE  ALT=\"Log%5B3%5D%2881%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite in exponential form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex+=+81 ALIGN=MIDDLE  ALT=\"3%5Ex+=+81\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81+=+3%5E4 ALIGN=MIDDLE  ALT=\"81+=+3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex+=+3%5E4 ALIGN=MIDDLE  ALT=\"3%5Ex+=+3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > The bases (3) are equal, so the exponents are equal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+4%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+4%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=Log%5B5%5D%281%2F25%29+=+x ALIGN=MIDDLE  ALT=\"Log%5B5%5D%281%2F25%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite in exponential form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Ex+=+1%2F25 ALIGN=MIDDLE  ALT=\"5%5Ex+=+1%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F25+=+1%2F5%5E2 ALIGN=MIDDLE  ALT=\"1%2F25+=+1%2F5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-2%29 ALIGN=MIDDLE  ALT=\"5%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=5%5Ex+=+5%5E%28-2%29 ALIGN=MIDDLE  ALT=\"5%5Ex+=+5%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The bases are equal, so the exponents are equal.<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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E4%29+=+x ALIGN=MIDDLE  ALT=\"ln%28e%5E4%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the \"power rule\" for logarithms:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2Aln%28e%29+=+x ALIGN=MIDDLE  ALT=\"4%2Aln%28e%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29+=+1 ALIGN=MIDDLE  ALT=\"ln%28e%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+=+x ALIGN=MIDDLE  ALT=\"4+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+4%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+4%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=Log%280.01%29+=+x ALIGN=MIDDLE  ALT=\"Log%280.01%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite in exponential form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ex+=+0.01 ALIGN=MIDDLE  ALT=\"10%5Ex+=+0.01\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.01+=+1%2F100 ALIGN=MIDDLE  ALT=\"0.01+=+1%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F10%5E2+=+10%5E%28-2%29 ALIGN=MIDDLE  ALT=\"1%2F10%5E2+=+10%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=10%5Ex+=+10%5E%28-2%29 ALIGN=MIDDLE  ALT=\"10%5Ex+=+10%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The bases are equal, so the exponents are equal.<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;\" > </SPAN>\n" );
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