document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196669>Question 196669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log (subscript 2) 48 - 1/3 log (subscript 2) 27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147404 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=147404\">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=log%282%2C%2848%29%29-%281%2F3%29log%282%2C%2827%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%29%29-%281%2F3%29log%282%2C%2827%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2848%29%29-log%282%2C%2827%5E%281%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%29%29-log%282%2C%2827%5E%281%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite the second log using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 ALIGN=MIDDLE  ALT=\"y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%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=log%282%2C%2848%29%29-log%282%2C%28root%283%2C27%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%29%29-log%282%2C%28root%283%2C27%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to radical form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2848%29%29-log%282%2C%283%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%29%29-log%282%2C%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cube root of 27 to get 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2848%2F3%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the logs 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=log%282%2C%2816%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2816%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%282%5E4%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%282%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   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=4%2Alog%282%2C%282%29%29 ALIGN=MIDDLE  ALT=\"4%2Alog%282%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponent using 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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A1 ALIGN=MIDDLE  ALT=\"4%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the log base 2 of 2 to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2848%29%29-%281%2F3%29log%282%2C%2827%29%29=4 ALIGN=MIDDLE  ALT=\"log%282%2C%2848%29%29-%281%2F3%29log%282%2C%2827%29%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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