document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634202>Question 634202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would like help with this question please<BR>\n" );
document.write( "(2log base 2 (x-6)) - (log base 2 X)= 3<BR>\n" );
document.write( " I am lost. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399431 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=399431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (2log base 2 (x-6)) - (log base 2 X)= 3<BR>\n" );
document.write( "We can write it<BR>\n" );
document.write( "2log2(x-6) - log2(x) = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we can put the exponent inside log<BR>\n" );
document.write( "log2((x-6)^2) - log2(x) = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Subtraction of logs is divide, we can write it as a single log<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log2%28%28x-6%29%5E2%2Fx%29 ALIGN=MIDDLE  ALT=\"log2%28%28x-6%29%5E2%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The exponent equiv of logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%5E2%2Fx ALIGN=MIDDLE  ALT=\"%28x-6%29%5E2%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by x<BR>\n" );
document.write( "(x-6)^2 = 8x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "FOIL (x-6)(x-6)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x%2B36 ALIGN=MIDDLE  ALT=\"x%5E2-12x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "x^2 - 12x - 8x + 36 = 0<BR>\n" );
document.write( "x^2 - 20x + 36 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(x-18)(x-2) = 0<BR>\n" );
document.write( "Two solutions <BR>\n" );
document.write( "x = 2; not a solution x-6 would put a neg inside the log<BR>\n" );
document.write( "and <BR>\n" );
document.write( "x = 18 is our solution </SPAN>\n" );
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