document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=411337>Question 411337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (log4(log4 x))=&#8722;2 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #289182 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=289182\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (log4(log4 x))=&#8722;2 \r<BR>\n" );
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document.write( "(log4(log4 x))=&#8722;2 <BR>\n" );
document.write( "Definition of logarithm: The base raised to the logarithm of a number is equal to the number. To solve the given problem we will do it in two steps. In the first step,the base=4, the logarithm of the number=-2, and the number is log4x. The second step follows the same definition.<BR>\n" );
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document.write( "first step:<BR>\n" );
document.write( "4^-2=log4x<BR>\n" );
document.write( "1/4^2=log4x<BR>\n" );
document.write( "1/16=log4x<BR>\n" );
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document.write( "second step<BR>\n" );
document.write( "4^(1/16)=x<BR>\n" );
document.write( "x=1.0905<BR>\n" );
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document.write( "check: using log base 10 on calculator and change-of-base formula<BR>\n" );
document.write( "(log4(log4 x))=&#8722;2<BR>\n" );
document.write( "log4x=log4(1.0905)=log(1.0905)/log(4)=.06249<BR>\n" );
document.write( "log4(.06249)=log(.06249)/log(4)=-2.000..<BR>\n" );
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