document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82369>Question 82369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5^(x-2) = 9^(3-x)\r<BR>\n" );
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document.write( "Solve for x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60390 by </B><A HREF=/tutors/aboutme.mpl?userid=ryanman><B>ryanman(19)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ryanman><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=60390\">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=5%5E%28x-2%29=3%5E%282%283-x%29%29+ ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=3%5E%282%283-x%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28x-2%29=3%5E%286-2x%29 ALIGN=MIDDLE  ALT=\"5%5E%28x-2%29=3%5E%286-2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "take the Log of both sides and divide , log by log , and x by x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29log5=%286-2x%29log3 ALIGN=MIDDLE  ALT=\"%28x-2%29log5=%286-2x%29log3\"   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=%28x-2%29%2F%286-2x%29+ ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%286-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log3%2Flog5+ ALIGN=MIDDLE  ALT=\"log3%2Flog5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "now using the calculator, solve normally<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%286-2x%29+ ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%286-2x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0.68<BR>\n" );
document.write( "(0.68)(6-2x) = (x-2)<BR>\n" );
document.write( "4.09-1.36x=x-2<BR>\n" );
document.write( "x=6.09/2.36<BR>\n" );
document.write( "x=2.58 </SPAN>\n" );
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