document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998682>Question 998682</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x\r<BR>\n" );
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document.write( "x= 6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)\r<BR>\n" );
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document.write( "I am not sure how to find X, I would appreciate if someone can help me. I will provide my step.\r<BR>\n" );
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document.write( "x=6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)\r<BR>\n" );
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document.write( " =6/8 (log(base6) sqrt(108)/ (2/sqrt3) + log(base 6) 9^2 + log(base6) 64)\r<BR>\n" );
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document.write( " =6/8 (log(base6) sqrt(108) / (2/sqrt3) + log(base 6) (81)(64)\r<BR>\n" );
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document.write( " =6/8 (log(base6) 9 + log(base6) 5184)<BR>\n" );
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document.write( " =6/8 (log(base6) (9)(5184)\r<BR>\n" );
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document.write( " =6/8 (log(base6) 46656)\r<BR>\n" );
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document.write( " = log(base6) 34992\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854702 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13367)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( "x= 6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)<BR>\n" );
document.write( "I am not sure how to find X, I would appreciate if someone can help me. I will provide my step.<BR>\n" );
document.write( "x=6/8 (log(base6) sqrt(108) - 1 log(base6) (2/sqrt(3))+ 2 log (base6) 9 + log(base6) 64)<BR>\n" );
document.write( "=6/8 (log(base6) sqrt(108)/ (2/sqrt3) + log(base 6) 9^2 + log(base6) 64)<BR>\n" );
document.write( "=6/8 (log(base6) sqrt(108) / (2/sqrt3) + log(base 6) (81)(64)<BR>\n" );
document.write( "=6/8 (log(base6) 9 + log(base6) 5184)\r<BR>\n" );
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document.write( "=6/8 (log(base6) (9)(5184)<BR>\n" );
document.write( "=6/8 (log(base6) 46656)<BR>\n" );
document.write( "= log(base6) 34992<br><BR>\n" );
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document.write( "Your work is fine up to the last step.<br><BR>\n" );
document.write( "It will be easier to find the answer if you leave the expression in factored form instead of multiplying all the numbers together.<br><BR>\n" );
document.write( "The entire expression is of the form<br><BR>\n" );
document.write( "(6/8) (... extended expression in a form equivalent to \"log (base6) of A\")<br><BR>\n" );
document.write( "Let's drop all the \"log (base 6)\" notations and just look at the \"A\".  Using basic log rules, A is as follows:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sqrt%28108%29%29%289%5E2%29%2864%29%29%2F%282%2Fsqrt%283%29%29 ALIGN=MIDDLE  ALT=\"%28%28sqrt%28108%29%29%289%5E2%29%2864%29%29%2F%282%2Fsqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Performing basic arithmetic WITHOUT multiplying all the numbers together....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286sqrt%283%29%29%289%5E2%29%2864%29%28sqrt%283%29%2F2%29 ALIGN=MIDDLE  ALT=\"%286sqrt%283%29%29%289%5E2%29%2864%29%28sqrt%283%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%29%283%29%289%5E2%29%2832%29 ALIGN=MIDDLE  ALT=\"%286%29%283%29%289%5E2%29%2832%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And now remembering that we are looking for the value of the log base 6 of this number....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%29%283%29%283%5E4%29%282%5E5%29=%286%29%283%5E5%29%282%5E5%29=%286%29%286%5E5%29=6%5E6 ALIGN=MIDDLE  ALT=\"%286%29%283%29%283%5E4%29%282%5E5%29=%286%29%283%5E5%29%282%5E5%29=%286%29%286%5E5%29=6%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Finally, then....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2F8%29log%286%2C%286%5E6%29%29=%283%2F4%29%286%29=9%2F2 ALIGN=MIDDLE  ALT=\"x=%286%2F8%29log%286%2C%286%5E6%29%29=%283%2F4%29%286%29=9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 9/2<br><BR>\n" );
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