document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959136>Question 959136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log7(log3(log2(x)))=0, find the value of x^-1/2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586284 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=586284\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we will find x and then x^(-1/2). To find x we will repeatedly rewrite the equation in exponential form (to \"peel away\" the logs).<br><BR>\n" );
document.write( "In general <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C+%28p%29%29+=+n ALIGN=MIDDLE  ALT=\"log%28a%2C+%28p%29%29+=+n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5En+=+p ALIGN=MIDDLE  ALT=\"a%5En+=+p\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Using this pattern on<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%287%2C+%28log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29=0 ALIGN=MIDDLE  ALT=\"log%287%2C+%28log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E0+=+log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29 ALIGN=MIDDLE  ALT=\"7%5E0+=+log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+=+log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29 ALIGN=MIDDLE  ALT=\"1+=+log%283%2C+%28log%282%2C+%28x%29%29%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Repeating...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E1+=+log%282%2C+%28x%29%29%29%29 ALIGN=MIDDLE  ALT=\"3%5E1+=+log%282%2C+%28x%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+=+log%282%2C+%28x%29%29%29%29 ALIGN=MIDDLE  ALT=\"3+=+log%282%2C+%28x%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Again...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3+=+x ALIGN=MIDDLE  ALT=\"2%5E3+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8+=+x ALIGN=MIDDLE  ALT=\"8+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"x%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"8%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"1%2F8%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsqrt%288%29 ALIGN=MIDDLE  ALT=\"1%2Fsqrt%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsqrt%288%29%29%28sqrt%282%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%281%2Fsqrt%288%29%29%28sqrt%282%29%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2Fsqrt%2816%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2Fsqrt%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F4 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );