document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6831>Question 6831</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Since a logarithm is an exponent, how do you think the log property<BR>\n" );
document.write( "logb(xy) = logb (x) + logb (y) is related to the exponent property<BR>\n" );
document.write( " (b^m)(b^n) = b^(m+n)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3821 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=3821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+J+=+log%28b%2Cx%29+%2B+log%28b%2Cy%29+ ALIGN=MIDDLE  ALT=\"+J+=+log%28b%2Cx%29+%2B+log%28b%2Cy%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28b%2Cxy%29+=+J+ ALIGN=MIDDLE  ALT=\"+log%28b%2Cxy%29+=+J+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The equivalent exponent for that log equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5EJ+=+xy+ ALIGN=MIDDLE  ALT=\"+b%5EJ+=+xy+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Now, let's put back the logs in place of the J (un-substitute):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E%28log%28b%2Cx%29+%2B+log%28b%2Cy%29%29+=+xy+ ALIGN=MIDDLE  ALT=\"+b%5E%28log%28b%2Cx%29+%2B+log%28b%2Cy%29%29+=+xy+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Remember the rule that says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5E%28m+%2B+n%29+=+b%5Em%2Ab%5En+ ALIGN=MIDDLE  ALT=\"+b%5E%28m+%2B+n%29+=+b%5Em%2Ab%5En+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Applying that above exponential rule, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5Elog%28b%2Cx%29%2Ab%5Elog%28b%2Cy%29+=+xy+ ALIGN=MIDDLE  ALT=\"+b%5Elog%28b%2Cx%29%2Ab%5Elog%28b%2Cy%29+=+xy+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Remember the rule <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5Elog%28b%2Cm%29+=+m+ ALIGN=MIDDLE  ALT=\"+b%5Elog%28b%2Cm%29+=+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5Elog%28b%2Cx%29+=+x+ ALIGN=MIDDLE  ALT=\"+b%5Elog%28b%2Cx%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b%5Elog%28b%2Cy%29+=+y+ ALIGN=MIDDLE  ALT=\"+b%5Elog%28b%2Cy%29+=+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So we're all cool. \r<BR>\n" );
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