document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189006>Question 189006</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1602773033/algebrahomeworkh>saxon algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Use the properties of logarithms to evaluate ln(8e)^4. Round to the nearest tenth.<BR>\n" );
document.write( "4*ln(8e)<BR>\n" );
document.write( "4*ln(8e)=4*(ln8+lne)<BR>\n" );
document.write( "4(ln8+lne)=?<BR>\n" );
document.write( "What do I do next?<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 #141749 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=141749\">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=ln%28%288e%29%5E4%29 ALIGN=MIDDLE  ALT=\"ln%28%288e%29%5E4%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=4%2Aln%288e%29 ALIGN=MIDDLE  ALT=\"4%2Aln%288e%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=ln%28x%5Ey%29=y%2Aln%28x%29%29 ALIGN=MIDDLE  ALT=\"ln%28x%5Ey%29=y%2Aln%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%2A%28ln%288%29%2Bln%28e%29%29 ALIGN=MIDDLE  ALT=\"4%2A%28ln%288%29%2Bln%28e%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the log using the identity  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28A%2AB%29=ln%28A%29%2Aln%28B%29 ALIGN=MIDDLE  ALT=\"ln%28A%2AB%29=ln%28A%29%2Aln%28B%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%2A%28ln%288%29%2B1%29 ALIGN=MIDDLE  ALT=\"4%2A%28ln%288%29%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of \"e\" to get 1.\r<BR>\n" );
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document.write( "Note: since the natural log is really a log with base \"e\", this means that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ln%28e%29 ALIGN=MIDDLE  ALT=\"y=ln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ey=e ALIGN=MIDDLE  ALT=\"e%5Ey=e\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   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%2A%282.0794%2B1%29 ALIGN=MIDDLE  ALT=\"4%2A%282.0794%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of 8 to get approximately 2.0794\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%283.0794%29 ALIGN=MIDDLE  ALT=\"4%2A%283.0794%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.3176 ALIGN=MIDDLE  ALT=\"12.3176\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.3 ALIGN=MIDDLE  ALT=\"12.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Round to the nearest tenth\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ln\left(\left(8e\right)^{4}\right) \approx 12.3\"> </SPAN>\n" );
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