document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411149>Question 411149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this math problem for a while now and I don't understand how to do it. I was wondering if someone could help me and explain each step as to how to solve the problem? Please and Thank You! \r<BR>\n" );
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document.write( "Solve the Logarithmic equation<BR>\n" );
document.write( "ln(ln(x^2))=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289014 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=289014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the Logarithmic equation<BR>\n" );
document.write( "ln(ln(x^2))=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A logarithim can be defined as follows:<BR>\n" );
document.write( "The base raised to the logarithm of the number is=to the number.<BR>\n" );
document.write( "In the first step,the base=e,the logarithm of the number is=0,and the number=ln(x^2).  This is also the exponential form of a logarithm.<BR>\n" );
document.write( "ln(ln(x^2))=0. In the second step with the same base=e,the logarithm of the number is=1,and the number is x^2.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "first step:<BR>\n" );
document.write( "e^0=ln(x^2)<BR>\n" );
document.write( "1=ln(x^2)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "second step:<BR>\n" );
document.write( "1=ln(x^2)<BR>\n" );
document.write( "e^1=x^2<BR>\n" );
document.write( "x=+-sqrt(e)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "ln(ln(x^2))=0<BR>\n" );
document.write( "ln[x^2]=ln[(+-sqrt(e)^2]=lne=1<BR>\n" );
document.write( "then,ln(ln(x^2))<BR>\n" );
document.write( "=ln(1)=0<BR>\n" );
document.write( "so,ln(ln(x^2))=0 </SPAN>\n" );
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