document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=836214>Question 836214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that log base 3 of 6 = m and log base 6 of 5 =n, express log base 3 of 10 in terms of m and n<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 #504122 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=504122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\log_3 10 = \log_3 5 + \log_3 2\">\r<BR>\n" );
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document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?mn = \log_3 6 \log_6 5 = \log_3 5\"> (this can be verified using change-of-base).\r<BR>\n" );
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document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\log_3 2 + \log_3 3 = \log_3 6 = m \Rightarrow \log_3 2 + 1 = m \Rightarrow \log_3 2 = m-1\">\r<BR>\n" );
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document.write( "Combining, we have <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\log_3 10 = mn + m - 1\">. </SPAN>\n" );
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