document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117717>Question 117717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is there someone that can help me with this problem? I've done these before but have since forgotten. \r<BR>\n" );
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document.write( "log sqrt(x^3-9)=2\r<BR>\n" );
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document.write( "Do I need to add the 9 and leave Log sqrt(x^3) =11? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85732 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=85732\">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%2810%2C%28sqrt%28x%5E3-9%29%29%29=2 ALIGN=MIDDLE  ALT=\"log%2810%2C%28sqrt%28x%5E3-9%29%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.  Note: Since you did not specify a base, this means that we're going to use the default base 10.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%282%29=sqrt%28x%5E3-9%29 ALIGN=MIDDLE  ALT=\"10%5E%282%29=sqrt%28x%5E3-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the equation using the property: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%29%29=y ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%29%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > ====> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5Ey=x ALIGN=MIDDLE  ALT=\"b%5Ey=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=sqrt%28x%5E3-9%29 ALIGN=MIDDLE  ALT=\"100=sqrt%28x%5E3-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%282%29 ALIGN=MIDDLE  ALT=\"10%5E%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100 ALIGN=MIDDLE  ALT=\"100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000=x%5E3-9 ALIGN=MIDDLE  ALT=\"10000=x%5E3-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10009=x%5E3 ALIGN=MIDDLE  ALT=\"10009=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 9 to both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C10009%29=x ALIGN=MIDDLE  ALT=\"root%283%2C10009%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of both sides\r<BR>\n" );
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document.write( "So our answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=root%283%2C10009%29 ALIGN=MIDDLE  ALT=\"x=root%283%2C10009%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=21.5508082663667 ALIGN=MIDDLE  ALT=\"x=21.5508082663667\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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