document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972068>Question 972068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: 2^(x-1) = 3^(2x+1)     Answer is: Log2+log3/log2-2log3 = -1.191<BR>\n" );
document.write( "Please help to arrive at answer. <BR>\n" );
document.write( "Thank you!<BR>\n" );
document.write( "Tiffany </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594460 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=594460\">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=2%5E%28x-1%29+=+3%5E%282x%2B1%29 ALIGN=MIDDLE  ALT=\"2%5E%28x-1%29+=+3%5E%282x%2B1%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=log%28%282%5E%28x-1%29%29%29+=+log%28%283%5E%282x%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%282%5E%28x-1%29%29%29+=+log%28%283%5E%282x%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Apply logs to both sides (to isolate exponents)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%2Alog%28%282%29%29+=+%282x%2B1%29%2Alog%28%283%29%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%2Alog%28%282%29%29+=+%282x%2B1%29%2Alog%28%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Use rule 3 (from <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/logrules.htm\">this link</a>)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%28%282%29%29-log%28%282%29%29+=+2x%2Alog%28%283%29%29%2Blog%28%283%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%28%282%29%29-log%28%282%29%29+=+2x%2Alog%28%283%29%29%2Blog%28%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%28%282%29%29+=+2x%2Alog%28%283%29%29%2Blog%28%283%29%29%2Blog%28%282%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%28%282%29%29+=+2x%2Alog%28%283%29%29%2Blog%28%283%29%29%2Blog%28%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282%29%29 ALIGN=MIDDLE  ALT=\"log%28%282%29%29\"   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=x%2Alog%28%282%29%29-2x%2Alog%28%283%29%29+=+log%28%283%29%29%2Blog%28%282%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%28%282%29%29-2x%2Alog%28%283%29%29+=+log%28%283%29%29%2Blog%28%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Alog%28%283%29%29 ALIGN=MIDDLE  ALT=\"2x%2Alog%28%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28log%28%282%29%29-2%2Alog%28%283%29%29%29+=+log%28%283%29%29%2Blog%28%282%29%29 ALIGN=MIDDLE  ALT=\"x%28log%28%282%29%29-2%2Alog%28%283%29%29%29+=+log%28%283%29%29%2Blog%28%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Factor out the GCF x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28log%28%283%29%29%2Blog%28%282%29%29%29%2F%28log%28%282%29%29-2%2Alog%28%283%29%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28log%28%283%29%29%2Blog%28%282%29%29%29%2F%28log%28%282%29%29-2%2Alog%28%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282%29%29-2%2Alog%28%283%29%29 ALIGN=MIDDLE  ALT=\"log%28%282%29%29-2%2Alog%28%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28log%28%282%29%29%2Blog%28%283%29%29%29%2F%28log%28%282%29%29-2%2Alog%28%283%29%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28log%28%282%29%29%2Blog%28%283%29%29%29%2F%28log%28%282%29%29-2%2Alog%28%283%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Rearrange terms. This is the exact answer in terms of logs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.19126813092756 ALIGN=MIDDLE  ALT=\"x+=+-1.19126813092756\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Use a calculator to get the approximate answer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1.191 ALIGN=MIDDLE  ALT=\"x+=+-1.191\"   DISABLED_style= \"max-width:90%; height:auto;\" >	Round to 3 decimal places (again this is approximate) </SPAN>\n" );
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