document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=71483>Question 71483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a worksheet with several problems I need help with.  I have the basic rules for logarithms, but they aren't really helping.\r<BR>\n" );
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document.write( "1.  5log(base37)37^9=<BR>\n" );
document.write( "2.  3log(base24)24^-2/3=<BR>\n" );
document.write( "3.  (Log(base7)8)/(log(base7)1/8) =<BR>\n" );
document.write( "4.  10^(log(base100)9)=\r<BR>\n" );
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document.write( "Thank you in advance for your help!!!   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51156 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=51156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The best way to deal with logs is to think up a very simple <BR>\n" );
document.write( "example that will show you how to do a problem, for instance,<BR>\n" );
document.write( "What's <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C16%29 ALIGN=MIDDLE  ALT=\"log%282%2C16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16+=+2%2A2%2A2%2A2+=+2%5E4 ALIGN=MIDDLE  ALT=\"16+=+2%2A2%2A2%2A2+=+2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Say to yourself, What's the log to the base 2 that gives me<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >? You see that it's 4.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5log%2837%2C37%5E9%29 ALIGN=MIDDLE  ALT=\"5log%2837%2C37%5E9%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%2A9 ALIGN=MIDDLE  ALT=\"5%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" > (exactly like my example above)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3log%2824%2C24%5E%28-2%2F3%29%29 ALIGN=MIDDLE  ALT=\"3log%2824%2C24%5E%28-2%2F3%29%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%2A%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"3%2A%28-2%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=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Log%287%2C8%29%2Flog%287%2C1%2F8%29 ALIGN=MIDDLE  ALT=\"Log%287%2C8%29%2Flog%287%2C1%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Note the general rule that log(a/b) = log(a) - log(b) (with any base)<BR>\n" );
document.write( "and also log(1) = 0 (with any base) <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C8%29+%2F+%28log%287%2C1%29+-+log%287%2C8%29%29 ALIGN=MIDDLE  ALT=\"log%287%2C8%29+%2F+%28log%287%2C1%29+-+log%287%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C8%29+%2F+%280+-+log%287%2C8%29%29 ALIGN=MIDDLE  ALT=\"log%287%2C8%29+%2F+%280+-+log%287%2C8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28log%287%2C8%29%29+%2F+log%287%2C8%29+=+-1 ALIGN=MIDDLE  ALT=\"-%28log%287%2C8%29%29+%2F+log%287%2C8%29+=+-1\"   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=10%5E%28log%28100%2C9%29%29 ALIGN=MIDDLE  ALT=\"10%5E%28log%28100%2C9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+log%28100%2C9%29 ALIGN=MIDDLE  ALT=\"x+=+log%28100%2C9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%5Ex+=+9 ALIGN=MIDDLE  ALT=\"100%5Ex+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%282x%29+=+9 ALIGN=MIDDLE  ALT=\"10%5E%282x%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2%2A10%5Ex+=+9 ALIGN=MIDDLE  ALT=\"10%5E2%2A10%5Ex+=+9\"   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+=+9%2F100 ALIGN=MIDDLE  ALT=\"10%5Ex+=+9%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28log%28100%2C9%29%29+=+9%2F100 ALIGN=MIDDLE  ALT=\"10%5E%28log%28100%2C9%29%29+=+9%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );