document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120721>Question 120721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for:\r<BR>\n" );
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document.write( "a)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28squareroot+of+2+%5E+%28squareroot+of+x%29%29+=+%28squareroot+of+2%5Ex%29++ ALIGN=MIDDLE  ALT=\"+%28squareroot+of+2+%5E+%28squareroot+of+x%29%29+=+%28squareroot+of+2%5Ex%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%5Ex%5E2+=+%282%5Ex%29%5E2 ALIGN=MIDDLE  ALT=\"+2+%5Ex%5E2+=+%282%5Ex%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+%5E%28x%2B3%29+=+2+%5Ex+%2B3 ALIGN=MIDDLE  ALT=\"+2+%5E%28x%2B3%29+=+2+%5Ex+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%283x%29+=+3+log+x+ ALIGN=MIDDLE  ALT=\"+log%283x%29+=+3+log+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you so much! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88631 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=88631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do b, c, and d.  Your rendering for part a is ambiguous.  Do you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%5Esqrt%28x%29=sqrt%282%5Ex%29 ALIGN=MIDDLE  ALT=\"sqrt%282%29%5Esqrt%28x%29=sqrt%282%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%5Esqrt%28x%29%29=sqrt%282%5Ex%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5Esqrt%28x%29%29=sqrt%282%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "b.)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%5Ex%5E2+=+%282%5Ex%29%5E2 ALIGN=MIDDLE  ALT=\"2+%5Ex%5E2+=+%282%5Ex%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the base-2 log of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C2%5Ex%5E2%29=log%282%2C%282%5Ex%29%5E2%29 ALIGN=MIDDLE  ALT=\"log%282%2C2%5Ex%5E2%29=log%282%2C%282%5Ex%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remembering that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Alog%282%2C2%29=2%2Alog%282%2C%282%5Ex%29%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Alog%282%2C2%29=2%2Alog%282%2C%282%5Ex%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then apply the rule again to say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Alog%282%2C2%29=2x%2Alog%282%2C%282%29%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Alog%282%2C2%29=2x%2Alog%282%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now remember that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cb%29=1 ALIGN=MIDDLE  ALT=\"log%28b%2Cb%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can simplify to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=2x ALIGN=MIDDLE  ALT=\"x%5E2=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%5E%28x%2B3%29+=+2+%5Ex+%2B3 ALIGN=MIDDLE  ALT=\"2+%5E%28x%2B3%29+=+2+%5Ex+%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remember that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28a%2Bc%29=b%5Ea%2Ab%5Ec ALIGN=MIDDLE  ALT=\"b%5E%28a%2Bc%29=b%5Ea%2Ab%5Ec\"   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=2%5Ex%2A2%5E3=2%5Ex%2B3 ALIGN=MIDDLE  ALT=\"2%5Ex%2A2%5E3=2%5Ex%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%5Ex ALIGN=MIDDLE  ALT=\"-2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex%2A2%5E3-2%5Ex=3 ALIGN=MIDDLE  ALT=\"2%5Ex%2A2%5E3-2%5Ex=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex ALIGN=MIDDLE  ALT=\"2%5Ex\"   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=%282%5Ex%29%282%5E3-1%29=3 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%282%5E3-1%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5Ex%29%288-1%29=3 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%288-1%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5Ex%29%287%29=3 ALIGN=MIDDLE  ALT=\"%282%5Ex%29%287%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex=3%2F7 ALIGN=MIDDLE  ALT=\"2%5Ex=3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the log base 2 of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C2%5Ex%29=log%282%2C3%2F7%29 ALIGN=MIDDLE  ALT=\"log%282%2C2%5Ex%29=log%282%2C3%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Again, using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%282%2C2%29=log%282%2C3%2F7%29 ALIGN=MIDDLE  ALT=\"x%2Alog%282%2C2%29=log%282%2C3%2F7%29\"   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=x=log%282%2C3%2F7%29 ALIGN=MIDDLE  ALT=\"x=log%282%2C3%2F7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=log%282%2C3%29-log%282%2C7%29 ALIGN=MIDDLE  ALT=\"x=log%282%2C3%29-log%282%2C7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > if you prefer.\r<BR>\n" );
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document.write( "d.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283x%29+=+3log%28x%29 ALIGN=MIDDLE  ALT=\"log%283x%29+=+3log%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%5En%29=n%2Alog%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > in reverse we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283x%29+=+log%28x%5E3%29 ALIGN=MIDDLE  ALT=\"log%283x%29+=+log%28x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the antilog of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=x%5E3 ALIGN=MIDDLE  ALT=\"3x=x%5E3\"   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=x%5E2=3 ALIGN=MIDDLE  ALT=\"x%5E2=3\"   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=x=sqrt%283%29 ALIGN=MIDDLE  ALT=\"x=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Only the positive square root will do because the domain of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2Cx%29 ALIGN=MIDDLE  ALT=\"log%28b%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > function is constrained to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cx%3C%2Binfinity ALIGN=MIDDLE  ALT=\"0%3Cx%3C%2Binfinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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