document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61660>Question 61660</A>: <I><SPAN STYLE=\"word-break: break-all;\">  can somone plese help me solve this?<BR>\n" );
document.write( "log(9, sqrt x )  + log(9, sqrt 2x+3)=1/2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42484 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=42484\">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%289%2Csqrt%28x%29%29++%2B+log%289%2Csqrt%282x%2B3%29%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2Csqrt%28x%29%29++%2B+log%289%2Csqrt%282x%2B3%29%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2Csqrt%28x%29%2Asqrt%282x%2B3%29%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2Csqrt%28x%29%2Asqrt%282x%2B3%29%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2Csqrt%28x%2A%282x%2B3%29%29%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2Csqrt%28x%2A%282x%2B3%29%29%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%282x%5E2%2B3x%29%5E%281%2F2%29%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2C%282x%5E2%2B3x%29%5E%281%2F2%29%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29log%289%2C%282x%5E2%2B3x%29%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"%281%2F2%29log%289%2C%282x%5E2%2B3x%29%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%282x%5E2%2B3x%29%29+=+1 ALIGN=MIDDLE  ALT=\"log%289%2C%282x%5E2%2B3x%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B3x+=+9%5E1 ALIGN=MIDDLE  ALT=\"2x%5E2%2B3x+=+9%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+3x+-+9+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+3x+-+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+6x+-+3x+-+9+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+6x+-+3x+-+9+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%28x+%2B+3%29+-+3%28x+%2B+3%29+=+0 ALIGN=MIDDLE  ALT=\"2x%28x+%2B+3%29+-+3%28x+%2B+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+3%29%28x+%2B+3%29+=+0 ALIGN=MIDDLE  ALT=\"%282x+-+3%29%28x+%2B+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Either or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+-+3+=+0 ALIGN=MIDDLE  ALT=\"2x+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "i.e. either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "But, square root of a negative number is not defined. If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%29+=+sqrt%28-3%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%29+=+sqrt%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes undefined. So x cannot be -3.<BR>\n" );
document.write( "Thus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+3%2F2 ALIGN=MIDDLE  ALT=\"x+=+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the only solution. </SPAN>\n" );
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