document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70043>Question 70043</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which of the following is the largest? 0.03^36, 0.0008^18, (1/200)^24  <BR>\n" );
document.write( "Is there any easy method to find this problem? Help please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49936 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=49936\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> which of the following is the largest? 0.03^36, 0.0008^18, (1/200)^24  <BR>\n" );
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document.write( "Put each number in log form:<BR>\n" );
document.write( "log0.03^36 = 36log0.03=-54.82<BR>\n" );
document.write( "log0.0008^18 = 18log0.0008=-55.74<BR>\n" );
document.write( "log(1/200)^24 = log(200^-24)= -24log200=-55.22\r<BR>\n" );
document.write( "\n" );
document.write( "The logs follow the same order as the numbers.<BR>\n" );
document.write( "0.0008^18 is the smallest<BR>\n" );
document.write( "(1/200)^24 is larger<BR>\n" );
document.write( "0.03^36 is the largest<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );