document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455075>Question 455075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. My teacher gave me a packet to do for a test next wed and i was wondering if you could help me with a problem.\r<BR>\n" );
document.write( "\n" );
document.write( "Solve for x. Give answers to the nearest 100th.\r<BR>\n" );
document.write( "\n" );
document.write( "logBASE4(logBASE8(64))=logBASE5(x)\r<BR>\n" );
document.write( "\n" );
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 #312506 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=312506\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x. Give answers to the nearest 100th. <BR>\n" );
document.write( "logBASE4(logBASE8(64))=logBASE5(x) <BR>\n" );
document.write( "thank you!<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The key here is to understand the definition of a logarithm; that is, the base raised to the logarithm of the number=number.<BR>\n" );
document.write( "let us look at your problem one part at a time.<BR>\n" );
document.write( "logBASE8(64) is asking the question, what do you raise the base(8) to get 64? The answer is 2 because 8^2=64.So, logBASE8(64)=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "logBASE4(2) is asking the question, what do you raise the base(4) to get 2? The answer is 1/2 because 4^(1/2)=2. so, logBASE4(2)=1/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( " 1/2=logBASE5(x)  is asking the question, what number do you get when you raise the base(5) to the logarithm of the number(1/2). The answer is &#8730;5 because 5^1/2=&#8730;5.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Putting problem back together:<BR>\n" );
document.write( "logBASE4(logBASE8(64))=logBASE5(x)<BR>\n" );
document.write( "log4(log8(64))=log5(x)<BR>\n" );
document.write( "log4(2)=log5(x)<BR>\n" );
document.write( "1/2=log5(x)<BR>\n" );
document.write( "x=5^(1/2)=&#8730;5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );