document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133441>Question 133441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: 3^x+2 plus 3^x = 270 <BR>\n" );
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document.write( "How to answer this quesiton with logs appearing in at least one of the steps?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97614 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=97614\">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=3%5E%28x%2B2%29%2B3%5Ex+=+270 ALIGN=MIDDLE  ALT=\"3%5E%28x%2B2%29%2B3%5Ex+=+270\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex%2A3%5E2%2B3%5Ex+=+270 ALIGN=MIDDLE  ALT=\"3%5Ex%2A3%5E2%2B3%5Ex+=+270\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28x%2B2%29 ALIGN=MIDDLE  ALT=\"3%5E%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex%2A3%5E2 ALIGN=MIDDLE  ALT=\"3%5Ex%2A3%5E2\"   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%5Ex%2A%283%5E2%2B1%29+=+270 ALIGN=MIDDLE  ALT=\"3%5Ex%2A%283%5E2%2B1%29+=+270\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex ALIGN=MIDDLE  ALT=\"3%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=3%5Ex%2A%289%2B1%29+=+270 ALIGN=MIDDLE  ALT=\"3%5Ex%2A%289%2B1%29+=+270\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Evaluate  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 9\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex%2A%2810%29+=+270 ALIGN=MIDDLE  ALT=\"3%5Ex%2A%2810%29+=+270\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex+=+27 ALIGN=MIDDLE  ALT=\"3%5Ex+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Divide both sides by 10\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%283%5Ex%29%29+=+log%2810%2C%2827%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%283%5Ex%29%29+=+log%2810%2C%2827%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Take the 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=x%2Alog%2810%2C%283%29%29+=+log%2810%2C%2827%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%283%29%29+=+log%2810%2C%2827%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Rewrite the left side using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%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%2810%2C%2827%29%29%2Flog%2810%2C%283%29%29 ALIGN=MIDDLE  ALT=\"x+=+log%2810%2C%2827%29%29%2Flog%2810%2C%283%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%2810%2C%283%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%283%29%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%283%2C%2827%29%29 ALIGN=MIDDLE  ALT=\"x+=+log%283%2C%2827%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs\r<BR>\n" );
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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;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C%2827%29%29 ALIGN=MIDDLE  ALT=\"log%283%2C%2827%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 3\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the answer is <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;\" > </SPAN>\n" );
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