document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33699>Question 33699</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321279085/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <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" );
document.write( "Answer:	\r<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 needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:\r<BR>\n" );
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document.write( "log b a = loga/logb\r<BR>\n" );
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document.write( "Using this formula, find  log 10000.<BR>\n" );
document.write( "Answer:	\r<BR>\n" );
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document.write( "Show work in this space	<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 #20139 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=20139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)Using a calculator, find log 10000 where log means log to the base of 10. <BR>\n" );
document.write( "actually, you do not need a calculator:<BR>\n" );
document.write( "log(base ten) 10,000 = x<BR>\n" );
document.write( "10^x = 10,000<BR>\n" );
document.write( "(10)(10)(10)(10) = 10,000<BR>\n" );
document.write( "so.... x is 4<BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
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 needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:\r<BR>\n" );
document.write( "\n" );
document.write( "log b a = loga/logb\r<BR>\n" );
document.write( "\n" );
document.write( "Using this formula, find  log 10000.\r<BR>\n" );
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document.write( "Remember: as you stated before, you are using common logarithms (that means they have a base of 10)<BR>\n" );
document.write( "log(base 10) 10,000<BR>\n" );
document.write( "(log 10,000)/(log 10)<BR>\n" );
document.write( "(4/1) = 4 </SPAN>\n" );
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