document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205396>Question 1205396</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that 3+log2(9)=log2(8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842168 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=842168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+log%282%2C%289%29%29+=+log%282%2C%288%29%29 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+log%282%2C%288%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=3++=+log%282%2C%288%29%29+-+log%282%2C%289%29%29 ALIGN=MIDDLE  ALT=\"3++=+log%282%2C%288%29%29+-+log%282%2C%289%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=3++=+log%282%2C%288%2F9%29%29 ALIGN=MIDDLE  ALT=\"3++=+log%282%2C%288%2F9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Used log rule log(A)-log(B) = log(A/B)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3++=+8%2F9%29 ALIGN=MIDDLE  ALT=\"2%5E3++=+8%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Converting from log form to exponential form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8++=+8%2F9%29 ALIGN=MIDDLE  ALT=\"8++=+8%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > We get a contradiction, so the original equation is false.\r<BR>\n" );
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document.write( "Another way to show the contradiction:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+log%282%2C%289%29%29+=+log%282%2C%288%29%29 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+log%282%2C%288%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=3+%2B+log%282%2C%289%29%29+=+log%282%2C%282%5E3%29%29 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+log%282%2C%282%5E3%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=3+%2B+log%282%2C%289%29%29+=+3%2Alog%282%2C%282%29%29 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+3%2Alog%282%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Using log rule log(A^B) = B*log(A) to pull down the exponent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+log%282%2C%289%29%29+=+3%2A1 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+3%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Log base b of itself is 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+log%282%2C%289%29%29+=+3 ALIGN=MIDDLE  ALT=\"3+%2B+log%282%2C%289%29%29+=+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=log%282%2C%289%29%29+=+0 ALIGN=MIDDLE  ALT=\"log%282%2C%289%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > The 3's cancel when subtracting them from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+2%5E0 ALIGN=MIDDLE  ALT=\"9+=+2%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Converting from log form to exponential form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+1 ALIGN=MIDDLE  ALT=\"9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is a contradiction<BR>\n" );
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