document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136324>Question 136324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I appreciate all that you do here. This is my second time. I was very happy with how the answer was so in depth. Thank you very much. This one question has got me in the muddle at the moment. I have soem ideas. But a little lost. Here it is.\r<BR>\n" );
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document.write( "\"Prove that if n is an Integer and log2 is Rational, then log2 n is an Integer?\"\r<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 #99846 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=99846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"Prove that if n is an Integer and log2 is Rational, then log2 n is an Integer?\" \r<BR>\n" );
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document.write( "If n is an integer it is rational and has form c/d.<BR>\n" );
document.write( "If log2 is rational it has the form a/b where a,b are integers and b is not zero<BR>\n" );
document.write( "Therefore log2 n = [logn]/[log2] = [c/d]/[a/b] = cb/ad, which is rational.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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