document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926009>Question 926009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |2(sqrt{2[log4(16)]} - {[log3(27)]3})| + 2<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 #561940 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you equation looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abs%282%2A%28sqrt%282%2Alog%284%2C%2816%29%29%29%29-%28log%283%2C%2827%29%29%5E3%29%29%2B2%29%2F4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if so, then you solve it as follows:\r<BR>\n" );
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document.write( "log(4,16) = 2 because 4^2 = 16<BR>\n" );
document.write( "log(3,27) = 3 because 3^3 = 27\r<BR>\n" );
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document.write( "you can replace log(4,16) in your equation by 2 and you can replace log(3,27) in your equation by 3 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abs%282%2A%28sqrt%282%2A2%29%29-%283%5E3%29%29%2B2%29%2F4 ALIGN=MIDDLE  ALT=\"%28abs%282%2A%28sqrt%282%2A2%29%29-%283%5E3%29%29%2B2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since sqrt(2*2) = sqrt(4) = 2 and since 3^3 = 27, your equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abs%282%2A2-27%29%2B2%29%2F4 ALIGN=MIDDLE  ALT=\"%28abs%282%2A2-27%29%2B2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since 2*2 = 4, and since 4 - 27 = -23, this simplifies to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28abs%28-23%29%2B2%29%2F4 ALIGN=MIDDLE  ALT=\"%28abs%28-23%29%2B2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since absolute value of -23 = 23, this simplifies to (23 + 2) / 4 which simplifies to 25 / 4 which simplifies to 6 and 1/4.\r<BR>\n" );
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document.write( "if we did this right, that is our solution.\r<BR>\n" );
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document.write( "your answer should be 6.25.\r<BR>\n" );
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document.write( "i verified with my calculator that this is correct if i translated your equation properly.\r<BR>\n" );
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document.write( "keeping the parentheses where they belong was the hardest part.\r<BR>\n" );
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document.write( "the best way to do that is to do the equation on paper and then line out the pairs of parentheses that belong with each other.\r<BR>\n" );
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document.write( "that helps get it straight.\r<BR>\n" );
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document.write( "it's a chore either way, but i think i got it right.\r<BR>\n" );
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