document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201588>Question 201588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate: log(subscript 4) 32. thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151797 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=151797\">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%284%2C%2832%29%29 ALIGN=MIDDLE  ALT=\"log%284%2C%2832%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=%28log%2810%2C%2832%29%29%29%2F%28log%2810%2C%284%29%29%29 ALIGN=MIDDLE  ALT=\"%28log%2810%2C%2832%29%29%29%2F%28log%2810%2C%284%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the change of base formula\r<BR>\n" );
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document.write( "Note: Remember the change of base formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%29%29=log%2810%2C%28x%29%29%2Flog%2810%2C%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%29%29=log%2810%2C%28x%29%29%2Flog%2810%2C%28b%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=%28log%2810%2C%282%5E5%29%29%29%2F%28log%2810%2C%288%29%29%29 ALIGN=MIDDLE  ALT=\"%28log%2810%2C%282%5E5%29%29%29%2F%28log%2810%2C%288%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5 ALIGN=MIDDLE  ALT=\"2%5E5\"   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=%28log%2810%2C%282%5E5%29%29%29%2F%28log%2810%2C%282%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"%28log%2810%2C%282%5E5%29%29%29%2F%28log%2810%2C%282%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2 ALIGN=MIDDLE  ALT=\"2%5E2\"   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=%285%2Alog%2810%2C%282%29%29%29%2F%28log%2810%2C%282%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"%285%2Alog%2810%2C%282%29%29%29%2F%28log%2810%2C%282%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the first 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=%285%2Alog%2810%2C%282%29%29%29%2F%282%2Alog%2810%2C%282%29%29%29 ALIGN=MIDDLE  ALT=\"%285%2Alog%2810%2C%282%29%29%29%2F%282%2Alog%2810%2C%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the second 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=%285%2Ahighlight%28log%2810%2C%282%29%29%29%29%2F%282%2Ahighlight%28log%2810%2C%282%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2Across%28log%2810%2C%282%29%29%29%29%2F%282%2Across%28log%2810%2C%282%29%29%29%29 ALIGN=MIDDLE  ALT=\"%285%2Across%28log%2810%2C%282%29%29%29%29%2F%282%2Across%28log%2810%2C%282%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F2 ALIGN=MIDDLE  ALT=\"5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%284%2C%2832%29%29=5%2F2 ALIGN=MIDDLE  ALT=\"log%284%2C%2832%29%29=5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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