document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=548954>Question 548954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:  log(10,x^(log(10,x))=4  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357329 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=357329\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x: <BR>\n" );
document.write( "log(10,x^(log(10,x))=4<BR>\n" );
document.write( "---<BR>\n" );
document.write( "log10[x^(log10(x))] = 4<BR>\n" );
document.write( "x^(log10(x)) = 10^4<BR>\n" );
document.write( "x^(log10(x)) = 10000<BR>\n" );
document.write( "x^[log(x)] = 10000<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "log(x)(log(x) = 4<BR>\n" );
document.write( "[log(x)]^2 = 4<BR>\n" );
document.write( "log(x) = 2<BR>\n" );
document.write( "x = 10^2<BR>\n" );
document.write( "x = 100<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );