document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132314>Question 132314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This question was on a test my teacher recently gave me, and needless to say, I got it wrong. I got stuck about half way through it. Can you please help me?<BR>\n" );
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document.write( "The original problem looked like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5%5Ex=2%5E%28x-6%29+ ALIGN=MIDDLE  ALT=\"+5%5Ex=2%5E%28x-6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "I first converted it to log form: xlog5 = x-6log2<BR>\n" );
document.write( "Then punched in log5 and log2 into my calculator: x(.69897) = x-6(.30102)<BR>\n" );
document.write( "Next, I distributed the -6: .69897x = x-1.80617\r<BR>\n" );
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document.write( "...and I'm stuck! Help, please! <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 #96665 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=96665\">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=+5%5Ex=2%5E%28x-6%29+ ALIGN=MIDDLE  ALT=\"+5%5Ex=2%5E%28x-6%29+\"   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=+log%2810%2C%285%5Ex%29%29=log%2810%2C%282%5E%28x-6%29%29%29+ ALIGN=MIDDLE  ALT=\"+log%2810%2C%285%5Ex%29%29=log%2810%2C%282%5E%28x-6%29%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%285%29%29=%28x-6%29%2Alog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"+x%2Alog%2810%2C%285%29%29=%28x-6%29%2Alog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use 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;\" > to rewrite 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%285%29%29=x%2Alog%2810%2C%282%29%29-6%2Alog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"+x%2Alog%2810%2C%285%29%29=x%2Alog%2810%2C%282%29%29-6%2Alog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%282%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: you distributed the terms incorrectly)\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%285%29%29-x%2Alog%2810%2C%282%29%29=-6%2Alog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"+x%2Alog%2810%2C%285%29%29-x%2Alog%2810%2C%282%29%29=-6%2Alog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog%2810%2C%282%29%29 ALIGN=MIDDLE  ALT=\"x%2Alog%2810%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28log%2810%2C%285%29%29-log%2810%2C%282%29%29%29=-6%2Alog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"+x%28log%2810%2C%285%29%29-log%2810%2C%282%29%29%29=-6%2Alog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%28log%2810%2C%285%2F2%29%29%29=-6%2Alog%2810%2C%282%29%29+ ALIGN=MIDDLE  ALT=\"+x%28log%2810%2C%285%2F2%29%29%29=-6%2Alog%2810%2C%282%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs on the left side using the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%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=-6%2Alog%2810%2C%282%29%29%2Flog%2810%2C%285%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+x=-6%2Alog%2810%2C%282%29%29%2Flog%2810%2C%285%2F2%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%285%2F2%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%285%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate x\r<BR>\n" );
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document.write( "Now if you want an approximate answer, then simply use your calculator to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4.53882 ALIGN=MIDDLE  ALT=\"x=-4.53882\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our answer is approximately <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-4.53882 ALIGN=MIDDLE  ALT=\"x=-4.53882\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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