document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038775>Question 1038775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 10log base 1o of m plus 2log base 10 of n minus log base 10 of p<BR>\n" );
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document.write( "10log_m+2log_n -log_&#8289;p  the base is 10\r<BR>\n" );
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document.write( "I could not write in mathematical form\r<BR>\n" );
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document.write( "Thanks,<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 #653497 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653497\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Notation: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log_b(x)\"> in plain text is log_b(x).  Most folks assume base 10 if the base is omitted, so log(x) is generally interpreted as log_10(x).  So your note that the logs are base 10 is appropriate because sometimes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log\"> is used to mean <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ln\"> which is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \log_e\">.  Also, get into the habit of putting the argument of the log in parentheses -- eliminates confusion.\r<BR>\n" );
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document.write( "So 10log_10(m) + 2log_10(n) - log_10 and (All logs base 10) 10log(m) + 2log(n) - log(p) would both have been interpreted as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 10\log_{10}(m)\ +\ 2\log_{10}(n)\ -\ \log_{10}(p)\">\r<BR>\n" );
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document.write( "Rules:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ a\cdot\log_b(x)\ =\ \log_b(x^a)\">\r<BR>\n" );
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document.write( "The sum of the logs is the log of the product.\r<BR>\n" );
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document.write( "The difference of the logs is the log of the quotient.\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 10\log_{10}(m)\ +\ 2\log_{10}(n)\ -\ \log_{10}(p)\ =\ \log_{10}\left(\frac{m^{10}n^2}{p}\right)\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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