document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466762>Question 466762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2^(3x+1)= 3^(x-2) <BR>\n" );
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document.write( "I get log base 2^3^(x-2)= 3x+1 and I am stuck after this. Any suggestions? <BR>\n" );
document.write( "Thanks 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 #320050 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=320050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good so far, took log of both sides<BR>\n" );
document.write( "For simplicity sake, when I use log i am using log base 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+1+=+log+%283%5E%28x-2%29%29 ALIGN=MIDDLE  ALT=\"3x+%2B+1+=+log+%283%5E%28x-2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From here you need to use the following log property:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+x%5En+=+n%2Alog+x ALIGN=MIDDLE  ALT=\"log+x%5En+=+n%2Alog+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This will get the variable x out of the exponent<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+1+=+%28x-2%29log+3 ALIGN=MIDDLE  ALT=\"3x+%2B+1+=+%28x-2%29log+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Distribute right side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+1+=+xlog+3+-+2log+3 ALIGN=MIDDLE  ALT=\"3x+%2B+1+=+xlog+3+-+2log+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get x's on left side, constants on right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+-+xlog+3+=+-2log+3+-+1 ALIGN=MIDDLE  ALT=\"3x+-+xlog+3+=+-2log+3+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor out the x on left, and factor out negative on right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%283+-+log+3%29+=+-%282log+3+%2B+1%29 ALIGN=MIDDLE  ALT=\"x%283+-+log+3%29+=+-%282log+3+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by (3 - log 3) on both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-%282log+3+%2B+1%29%2F%283+-+log+3%29 ALIGN=MIDDLE  ALT=\"+x+=+-%282log+3+%2B+1%29%2F%283+-+log+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you use your calculator this is approximately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2.95 ALIGN=MIDDLE  ALT=\"x+=+-2.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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