document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22276>Question 22276</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the following expression.  Your answer should not contain logarithms.\r<BR>\n" );
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document.write( "25^log5(x)\r<BR>\n" );
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document.write( "(that's log base 5 then x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10801 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=10801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET Y=25^(LOG X TO BASE 5)<BR>\n" );
document.write( "USE FORMULA LOG X TO BASE 5 = LOG X/LOG 5 TO COMMON BASE<BR>\n" );
document.write( "Y=25^(LOG X/LOG 5)<BR>\n" );
document.write( "TAKING LOGS BOTH SIDES<BR>\n" );
document.write( "LOG Y ={(LOG X)/(LOG 5)}*LOG 25<BR>\n" );
document.write( "=LOG X*LOG 5^2/LOG 5=LOG X*(2*LOG 5)/LOG 5(SINCE LOG X^N=N*LOG X)<BR>\n" );
document.write( "=2LOG X=LOG X^2<BR>\n" );
document.write( "HENCE LOG Y = LOG X^2<BR>\n" );
document.write( "TAKING ANTILOGS<BR>\n" );
document.write( "Y=X^2<BR>\n" );
document.write( "HENCE <BR>\n" );
document.write( "Y=25^(LOG X TO BASE 5)=X^2 </SPAN>\n" );
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