document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218334>Question 218334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate log(6, sqrt6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164428 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=164428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_{6}\left(\sqrt{6}\right)=\log_{6}\left(6^{\frac{1}{2}\right)=\frac{1}{2}\log_{6}\left(6\right)=\frac{1}{2}(1)=\frac{1}{2}\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_{6}\left(\sqrt{6}\right)=\frac{1}{2}\">\r<BR>\n" );
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document.write( "In this problem, I used the following identities: \r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt{x}=x^{\frac{1}{2}}\">\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_{b}\left(x^y\right)=y\log_{b}\left(x\right)\">\r<BR>\n" );
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document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_{b}\left(b\right)=1\">\r<BR>\n" );
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document.write( "note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%3E1 ALIGN=MIDDLE  ALT=\"b%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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