document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125675>Question 125675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for the unknown variable:<BR>\n" );
document.write( "a)sqrt9^x=27<BR>\n" );
document.write( "b)8^(1/2x)=(2^7)*(4^9)<BR>\n" );
document.write( "c)sqrt125^x=5/25^x Can someone PLEASE help me ??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #92102 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=92102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289%5Ex%29=27 ALIGN=MIDDLE  ALT=\"sqrt%289%5Ex%29=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Square both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5Ex=27%5E2 ALIGN=MIDDLE  ALT=\"9%5Ex=27%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Don't bother calculating <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%5E2 ALIGN=MIDDLE  ALT=\"27%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it won't be necessary)\r<BR>\n" );
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document.write( "But <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=3%5E2 ALIGN=MIDDLE  ALT=\"9=3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27=3%5E3 ALIGN=MIDDLE  ALT=\"27=3%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E2%29%5Ex=%283%5E3%29%5E2 ALIGN=MIDDLE  ALT=\"%283%5E2%29%5Ex=%283%5E3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Use the rule:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5Em%29%5En=x%5Emn ALIGN=MIDDLE  ALT=\"%28x%5Em%29%5En=x%5Emn\"   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=3%5E%282x%29=3%5E6 ALIGN=MIDDLE  ALT=\"3%5E%282x%29=3%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=6 ALIGN=MIDDLE  ALT=\"2x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<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" );
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document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E3=729 ALIGN=MIDDLE  ALT=\"9%5E3=729\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28729%29=27 ALIGN=MIDDLE  ALT=\"sqrt%28729%29=27\"   DISABLED_style= \"max-width:90%; height:auto;\" >, answer checks.\r<BR>\n" );
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document.write( "b) Do you mean: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%281%2F2x%29=%282%5E7%29%2A%284%5E9%29 ALIGN=MIDDLE  ALT=\"8%5E%281%2F2x%29=%282%5E7%29%2A%284%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or do you really mean: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%28%281%2F2%29x%29=%282%5E7%29%2A%284%5E9%29 ALIGN=MIDDLE  ALT=\"8%5E%28%281%2F2%29x%29=%282%5E7%29%2A%284%5E9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Either way:  Notice that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8=2%5E3 ALIGN=MIDDLE  ALT=\"8=2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=2%5E2 ALIGN=MIDDLE  ALT=\"4=2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so:\r<BR>\n" );
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document.write( "Either:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2x%29=%282%5E7%29%2A%282%5E18%29=2%5E25 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2x%29=%282%5E7%29%2A%282%5E18%29=2%5E25\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28%283%2F2%29x%29=%282%5E7%29%2A%282%5E18%29=2%5E25 ALIGN=MIDDLE  ALT=\"2%5E%28%283%2F2%29x%29=%282%5E7%29%2A%282%5E18%29=2%5E25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2x=25 ALIGN=MIDDLE  ALT=\"3%2F2x=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2F2%29=25 ALIGN=MIDDLE  ALT=\"%283x%2F2%29=25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F50 ALIGN=MIDDLE  ALT=\"x=3%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50%2F3 ALIGN=MIDDLE  ALT=\"x=50%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You should be able to use the same techniques to solve the last one.  For part c get everything represented by powers of 5.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25=5%5E2 ALIGN=MIDDLE  ALT=\"25=5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125=5%5E3 ALIGN=MIDDLE  ALT=\"125=5%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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