document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=940744>Question 940744</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the definition of logarithm to simplify each expression.\r<BR>\n" );
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document.write( "log10 10\r<BR>\n" );
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document.write( "log10 1,000\r<BR>\n" );
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document.write( "log10 10&#8722;4 the -4 is to the -4 power  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #573363 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=573363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "simplify each expression: these are common logarithms\r<BR>\n" );
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document.write( "Logarithms that use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the base are called common logarithms.\r<BR>\n" );
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document.write( "a logarithm answers the question:\r<BR>\n" );
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document.write( "How many of one number do we multiply to get another number? The number we are multiplying is called the \"base\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C+10%29 ALIGN=MIDDLE  ALT=\"log%2810%2C+10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > here we are asking \"how many <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >s need to be multiplied together to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\" and answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C+10%29=1 ALIGN=MIDDLE  ALT=\"log%2810%2C+10%29=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=log%2810%2C+1000%29 ALIGN=MIDDLE  ALT=\"log%2810%2C+1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \"how many <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >s need to be multiplied together to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000 ALIGN=MIDDLE  ALT=\"1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\" and answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2A10%2A10=1000 ALIGN=MIDDLE  ALT=\"10%2A10%2A10=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E3=1000 ALIGN=MIDDLE  ALT=\"10%5E3=1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C+1000%29=3 ALIGN=MIDDLE  ALT=\"log%2810%2C+1000%29=3\"   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%2810%2C+10%5E-4%29+ ALIGN=MIDDLE  ALT=\"log%2810%2C+10%5E-4%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%2Alog%2810%2C+10%29+ ALIGN=MIDDLE  ALT=\"-4%2Alog%2810%2C+10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C+10%29=1 ALIGN=MIDDLE  ALT=\"log%2810%2C+10%29=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%2A1+ ALIGN=MIDDLE  ALT=\"-4%2A1+\"   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+ ALIGN=MIDDLE  ALT=\"-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C+10%5E-4%29=-4+ ALIGN=MIDDLE  ALT=\"log%2810%2C+10%5E-4%29=-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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