document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132616>Question 132616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x:<BR>\n" );
document.write( "2logbase4(2x)-logbase4(3x-5)=logbase3 (9)??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96963 by </B><A HREF=/tutors/aboutme.mpl?userid=mathispowerful><B>mathispowerful(115)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathispowerful><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=96963\">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=2log4%282x%29-log4%283x-5%29=log3%289%29 ALIGN=MIDDLE  ALT=\"2log4%282x%29-log4%283x-5%29=log3%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solution:\r<BR>\n" );
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document.write( "Rewrite the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log4%282x%29%5E2-log4%283x-5%29=log3%283%29%5E2 ALIGN=MIDDLE  ALT=\"log4%282x%29%5E2-log4%283x-5%29=log3%283%29%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=log4%28%282x%29%5E2%2F%283x-5%29%29=2log3%283%29 ALIGN=MIDDLE  ALT=\"log4%28%282x%29%5E2%2F%283x-5%29%29=2log3%283%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=log4%28%282x%29%5E2%2F%283x-5%29%29=2 ALIGN=MIDDLE  ALT=\"log4%28%282x%29%5E2%2F%283x-5%29%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace 2 by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log4%2816%29 ALIGN=MIDDLE  ALT=\"log4%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > since they are equal and we need base 4 log.\r<BR>\n" );
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document.write( "So we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log4%28%282x%29%5E2%2F%283x-5%29%29=log4%2816%29 ALIGN=MIDDLE  ALT=\"log4%28%282x%29%5E2%2F%283x-5%29%29=log4%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Compare the two sides, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2%2F%283x-5%29=16 ALIGN=MIDDLE  ALT=\"%282x%29%5E2%2F%283x-5%29=16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then multiply 3x-5 on both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%29%5E2=16%283x-5%29 ALIGN=MIDDLE  ALT=\"%282x%29%5E2=16%283x-5%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=4x%5E2=16%283x-5%29 ALIGN=MIDDLE  ALT=\"4x%5E2=16%283x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide by 4 on both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4%283x-5%29 ALIGN=MIDDLE  ALT=\"x%5E2=4%283x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "expand it and write into standard form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x%2B20=0 ALIGN=MIDDLE  ALT=\"x%5E2-12x%2B20=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Factor left side:\r<BR>\n" );
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document.write( "(x-10)(x-2)=0;\r<BR>\n" );
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document.write( "So x=10 or x=2.\r<BR>\n" );
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document.write( "That's it! </SPAN>\n" );
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