document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=270229>Question 270229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to change this to base 4?\r<BR>\n" );
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document.write( "log64 512   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198020 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=198020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how to change this to base 4? <BR>\n" );
document.write( "log64 512 \r<BR>\n" );
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document.write( "log64 512 = x (set it equal to x)<BR>\n" );
document.write( "base b = 64<BR>\n" );
document.write( "set y = 512<BR>\n" );
document.write( "b^x = y --> 64^x = 512 --> 64 * 64^(1/2) = 512 --> x=3/2\r<BR>\n" );
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document.write( "logb (x) = logd (x) / logd (b) (d here is your new base)\r<BR>\n" );
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document.write( "4^0 = 1, 4^1 = 4, 4*4 = 16, 16*4 = 64, 64*4 = 256 , 256*2 = 512, 256 * 4 = 1024\r<BR>\n" );
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document.write( "log64 (512) = log4 (512) / log4 (64)<BR>\n" );
document.write( "512/64 = 4^(4.5)/4^3 = 4*4*4*4*4^(1/2) / 4*4*4 = 4*4^(1/2) = 4^(3/2) = 8\r<BR>\n" );
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document.write( "log64 (512) = log4 (8) = 3/2\r<BR>\n" );
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document.write( "or 64^(3/2) = 512 and 4^(3/2) = 8\r<BR>\n" );
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document.write( " </SPAN>\n" );
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