document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73865>Question 73865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5) 	Logarithms:<BR>\n" );
document.write( " a) 	Using a calculator, find log 10000 where log means log to the base of 10. <BR>\n" );
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document.write( "b) 	Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she uses a log to the base 2. To find the log of a number to any base, we can use a conversion formula as shown below:\r<BR>\n" );
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document.write( "Using this formula, find  Log(base 2) 10000. Round your answer to the hundredth's place.<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space	\r<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 #52838 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=52838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) to calculate log 10000 we can simply use a calculator. log 10000 translates to <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ex=10000 ALIGN=MIDDLE  ALT=\"10%5Ex=10000\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the log is used to find x. So evaluating log 10000 we get 5. In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E5=10000 ALIGN=MIDDLE  ALT=\"10%5E5=10000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b)<BR>\n" );
document.write( "Since we know how to find log 10000, we can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%2810000%29%2Flog+%282%29 ALIGN=MIDDLE  ALT=\"log+%2810000%29%2Flog+%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since log(10000)=5 we have our numerator and log(2)=0.301 so we divide them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%2810000%29%2Flog+%282%29=5%2F0.301=16.61 ALIGN=MIDDLE  ALT=\"log+%2810000%29%2Flog+%282%29=5%2F0.301=16.61\"   DISABLED_style= \"max-width:90%; height:auto;\" > If you don't know how to work your calculator you can look for a manual online or you can ask me.<BR>\n" );
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