document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=914472>Question 914472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Expand the logarithm:\r<BR>\n" );
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document.write( "http://i.imgur.com/iF44jl0.png\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555137 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=555137\">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\left( \sqrt{x^5\sqrt{y^3\sqrt{z^3}}} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\log\left( (x^5(y^3(z^3)^{1/2})^{1/2})^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5(y^3(z^3)^{1/2})^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\left(\log\left( x^5\right) + \log\left((y^3(z^3)^{1/2})^{1/2} \right)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{2}\log\left((y^3(z^3)^{1/2})^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{2}*\frac{1}{2}\log\left(y^3(z^3)^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{4}\log\left(y^3(z^3)^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{4}\left(\log\left(y^3\right)  + \log\left((z^3)^{1/2} \right)\right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{4}\log\left(y^3\right)  + \frac{1}{4}\log\left((z^3)^{1/2} \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{4}\log\left(y^3\right)  + \frac{1}{4}*\frac{1}{2}\log\left(z^3 \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{1}{2}\log\left( x^5\right) + \frac{1}{4}\log\left(y^3\right)  + \frac{1}{8}\log\left(z^3 \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large5*\frac{1}{2}\log\left( x\right) + 3*\frac{1}{4}\log\left(y\right)  + 3*\frac{1}{8}\log\left(z \right)\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\frac{5}{2}\log\left( x\right) + \frac{3}{4}\log\left(y\right)  + \frac{3}{8}\log\left(z \right)\">\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large\log\left( \sqrt{x^5\sqrt{y^3\sqrt{z^3}}} \right) = \frac{5}{2}\log\left( x\right) + \frac{3}{4}\log\left(y\right)  + \frac{3}{8}\log\left(z \right)\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x, \ y, \ z > 0\"> </SPAN>\n" );
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