document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462600>Question 462600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please give step by step instructions on solving this problem...<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 #317146 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317146\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please give step by step instructions on solving this problem...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex+=+8%5E%28x-8%29 ALIGN=MIDDLE  ALT=\"3%5Ex+=+8%5E%28x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "There are several ways to solve this problem Here is a method that I like. Warning: this problem has LOTS of algebra twists and turns!<BR>\n" );
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document.write( "Remember that the logarithm function is the inverse of the exponential function. This means that I can rewrite any exponential equation as a logarithmic equation.<BR>\n" );
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document.write( "We are given<BR>\n" );
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document.write( "Since these to expressions are equivalent, their natural logarithms are equivalent. So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%5Ex%29=ln%288%5E%28x-8%29%29 ALIGN=MIDDLE  ALT=\"ln%283%5Ex%29=ln%288%5E%28x-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Using the power property for the logarithms, we have<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Aln%283%29=%28x-8%29%2Aln%288%29%29%29%29%0D%0A.%0D%0ARearrange+the+equation+so+that+the+natural+logarithms+are+on+the+same+side.%0D%0A%7B%7B%7Bln%283%29%2Fln%288%29=%28x-8%29%2Fx ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we expand the right side of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%29%2Fln%288%29=x%2Fx-8%2Fx=1-8%2Fx ALIGN=MIDDLE  ALT=\"ln%283%29%2Fln%288%29=x%2Fx-8%2Fx=1-8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Solve for x.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%29%2Fln%288%29-ln%288%29%2Fln%288%29=-8%2Fx ALIGN=MIDDLE  ALT=\"ln%283%29%2Fln%288%29-ln%288%29%2Fln%288%29=-8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%283%29-ln%288%29%2Fln%288%29=-8%2Fx ALIGN=MIDDLE  ALT=\"ln%283%29-ln%288%29%2Fln%288%29=-8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ln%283%29-ln%288%29%29%2Fln%288%29=-8%2Fx ALIGN=MIDDLE  ALT=\"%28ln%283%29-ln%288%29%29%2Fln%288%29=-8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Apply the division property for subtracting logarithms.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-8%2Aln%288%29%29%2F%28ln%283%2F8%29%29 ALIGN=MIDDLE  ALT=\"x=%28-8%2Aln%288%29%29%2F%28ln%283%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "hope this helps!<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex </SPAN>\n" );
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