document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461820>Question 461820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey,\r<BR>\n" );
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document.write( "Quick question. I have the following problem:\r<BR>\n" );
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document.write( "Using properties of logarithms, find the exact value of the expression:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%282%2C+25%29+log%283%2C+27%29+log%285%2C+8%29+ ALIGN=MIDDLE  ALT=\"+log%282%2C+25%29+log%283%2C+27%29+log%285%2C+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I know Change-of-Base formula, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28a%2C+M%29+=+%28log%28b%2C+M%29%29%2Flog%28b%2C+a%29 ALIGN=MIDDLE  ALT=\"+log+%28a%2C+M%29+=+%28log%28b%2C+M%29%29%2Flog%28b%2C+a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log+%28a%2C+a%5Er%29=r ALIGN=MIDDLE  ALT=\"+log+%28a%2C+a%5Er%29=r\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but I don't know how to get to the answer, which is 18.\r<BR>\n" );
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document.write( "A little explanation of the steps would be much appreciated!\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jessica </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316620 by </B><A HREF=/tutors/aboutme.mpl?userid=asuar010><B>asuar010(338)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=asuar010><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=asuar010><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=316620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the process is like a puzzle lol\r<BR>\n" );
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document.write( "first letts work with the simple one which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%283%2C+27%29 ALIGN=MIDDLE  ALT=\"+log%283%2C+27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the answer is 3 as you know because  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E3 ALIGN=MIDDLE  ALT=\"3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 27...\r<BR>\n" );
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document.write( "then convert the rest of the equation and substitute and should look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%2825%29%2Flog%282%29%29+%2A+3+%2A+%28log%288%29%2Flog%285%29%29 ALIGN=MIDDLE  ALT=\"+%28log%2825%29%2Flog%282%29%29+%2A+3+%2A+%28log%288%29%2Flog%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then using basic rules of multiplication of fraction rewrite as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%2825%29%2Flog%285%29%29+%2A+3+%2A+%28log%288%29%2Flog%282%29%29 ALIGN=MIDDLE  ALT=\"+%28log%2825%29%2Flog%285%29%29+%2A+3+%2A+%28log%288%29%2Flog%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then go backwards on the second formula you wrote and the expression should be simplified as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%285%2C+25%29%2A3%2Alog%282%2C+8%29+ ALIGN=MIDDLE  ALT=\"+log%285%2C+25%29%2A3%2Alog%282%2C+8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes 2*3*3=18...\r<BR>\n" );
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document.write( "nice isn't?<BR>\n" );
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