document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=17475>Question 17475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help evaluating this expression:\r<BR>\n" );
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document.write( "Log base 10 multiplied to (.01) raised to the 3rd power\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Michael V </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8420 by </B><A HREF=/tutors/aboutme.mpl?userid=bam878s><B>bam878s(77)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bam878s><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=8420\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> throughout assume log = log base 10<BR>\n" );
document.write( "we know log 1 = 0<BR>\n" );
document.write( "why?<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E0 ALIGN=MIDDLE  ALT=\"10%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
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document.write( "From properties of log we know<BR>\n" );
document.write( "log <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5En ALIGN=MIDDLE  ALT=\"x%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > = n log x<BR>\n" );
document.write( "so log <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.01%5E3 ALIGN=MIDDLE  ALT=\".01%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 log .01\r<BR>\n" );
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document.write( "now we just need to find log .01<BR>\n" );
document.write( "note .01 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F100 ALIGN=MIDDLE  ALT=\"1%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%2810%5E2%29 ALIGN=MIDDLE  ALT=\"1%2F%2810%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-2 ALIGN=MIDDLE  ALT=\"10%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-2 ALIGN=MIDDLE  ALT=\"10%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .01 means that log .01 = -2\r<BR>\n" );
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document.write( "so now 3 log .01 = 3 * (-2) = -6\r<BR>\n" );
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document.write( "Hope this helps </SPAN>\n" );
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