document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000654>Question 1000654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please if someone could solve this inequality!<BR>\n" );
document.write( "Thank you for your time and help!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28abs%28x%29%2C%285x%5E2-1%29%29%3E2+ ALIGN=MIDDLE  ALT=\"+log%28abs%28x%29%2C%285x%5E2-1%29%29%3E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618034 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=618034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28abs%28x%29%2C%285x%5E2-1%29%29%3E2+ ALIGN=MIDDLE  ALT=\"+log%28abs%28x%29%2C%285x%5E2-1%29%29%3E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By using the absolute value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the base,<BR>\n" );
document.write( "they are just making sure the base is positive.<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The trick here, I think, is to express <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+ ALIGN=MIDDLE  ALT=\"+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a<BR>\n" );
document.write( "log to the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%28x%29+ ALIGN=MIDDLE  ALT=\"+abs%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28abs%28x%29%2C%285x%5E2-1%29%29+%3E+log%28+abs%28x%29%2C+x%5E2+%29+ ALIGN=MIDDLE  ALT=\"+log%28abs%28x%29%2C%285x%5E2-1%29%29+%3E+log%28+abs%28x%29%2C+x%5E2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+ ALIGN=MIDDLE  ALT=\"+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be positive even if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is negative, giving me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2B2+ ALIGN=MIDDLE  ALT=\"+%2B2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x%5E2+-+1+%3E+x%5E2+ ALIGN=MIDDLE  ALT=\"+5x%5E2+-+1+%3E+x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4x%5E2+%3E+1+ ALIGN=MIDDLE  ALT=\"+4x%5E2+%3E+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%3E+1%2F4+ ALIGN=MIDDLE  ALT=\"+x%5E2+%3E+1%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E++1%2F2+ ALIGN=MIDDLE  ALT=\"+x+%3E++1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C+-1%2F2+ ALIGN=MIDDLE  ALT=\"+x+%3C+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "---------------<BR>\n" );
document.write( "Also, you can't have a log to a positive base which<BR>\n" );
document.write( "gives you a negative result, so:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x%5E2+%3E=+1+ ALIGN=MIDDLE  ALT=\"+5x%5E2+%3E=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2+%3E=+1%2F5+ ALIGN=MIDDLE  ALT=\"+x%5E2+%3E=+1%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E=+1%2Fsqrt%285%29+ ALIGN=MIDDLE  ALT=\"+x+%3E=+1%2Fsqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C=+-1%2Fsqrt%285%29+ ALIGN=MIDDLE  ALT=\"+x+%3C=+-1%2Fsqrt%285%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "These conditions are satisfied by my answers<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+1%2F2+ ALIGN=MIDDLE  ALT=\"+x+%3E+1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3C+-1%2F2+ ALIGN=MIDDLE  ALT=\"+x+%3C+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > are correct<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Defintely get a 2nd opinion if you can.<BR>\n" );
document.write( "I think I'm right, but not positive </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );