document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515107>Question 515107</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain computer design has 64 different sequences of 10 binary digits so that the total number of possible states is (2^10)^64 = 1024^64. Evaluate 1024^64 using logarithms. Show your work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343722 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=343722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate 1024^64 using logarithms<BR>\n" );
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document.write( "Let x = 1024^64<BR>\n" );
document.write( "logx = 64*log(1024)<BR>\n" );
document.write( "logx = 64*3.0103<BR>\n" );
document.write( "---<BR>\n" );
document.write( "logx = 192.66<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 10^192.66<BR>\n" );
document.write( "x = overflow on my TI-84<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );