document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=20954>Question 20954</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What values of X cannot possibly be solutions of the following equation:\r<BR>\n" );
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document.write( "log a (3x+1)=2<BR>\n" );
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document.write( "(note: the \"a\" is suppossed to be the base of the logarithm)<BR>\n" );
document.write( "I can not find this in the book. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12010 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=12010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log a (3x+1)=2<BR>\n" );
document.write( "USE FORMULA LOG xTO BASE Y = LOG X/LOG Y...ALL LOGS TAKEN WITH A COMMON BASE<BR>\n" );
document.write( "log a (3x+1)=2=LOG (3X+1)/LOG A =2<BR>\n" );
document.write( "LOG (3X+1)=2*LOG A ..WE HAVE TO FIND THE RESTRICTIONS ON X.<BR>\n" );
document.write( "SO WE TAKE THAT 2*LOG A IS SOME REAL NUMBER (OF COURSE FOR THIS TO HAPPEN A ALSO HAS TO BE A POSITIVE NUMBER).FOR THAT TO HAPPEN LOG (3X+1) HAS TO BE REAL NUMBER<BR>\n" );
document.write( "SO 3X+1>0,SINCE LOG 0 OR LOG OF  NEGATIVE NUMBER DOES NOT EXIST.HENCE <BR>\n" );
document.write( "3X+1>0...OR<BR>\n" );
document.write( "3X>-1...OR..<BR>\n" );
document.write( "X>-1/3<BR>\n" );
document.write( "HENCE X HAS TO BE GREATER THAN -1/3 FOR THE ABOVE EQUATION TO HOLD TRUE FOR ANY REAL VALUE OF A >0<BR>\n" );
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