document.write( "Question 73935: 5) Logarithms:
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document.write( " a) Using a calculator, find log 10000 where log means log to the base of 10.
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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 here:\r
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document.write( "log b a=log a/ log b
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document.write( "Using this formula, find log 2 10000 . Round your answer to the hundredth's place.
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document.write( "Answer: \r
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Algebra.Com's Answer #52979 by ffc_01(9)![]() ![]() ![]() You can put this solution on YOUR website! a) log base 10 of 10000 \n" ); document.write( "Scientific Calculator: plug in 10000 log \n" ); document.write( "TI83, 83+, or 84: plug in log 10000 \n" ); document.write( "or by hand: 10^x = 10000 \n" ); document.write( "answer: 4\r \n" ); document.write( "\n" ); document.write( "b) log base 2 of 10000 \n" ); document.write( "log b a = log base 10 of a / log base 10 b \n" ); document.write( "b=2, a=10000 \n" ); document.write( "log 10000 / log 2 \n" ); document.write( "13.28771238 \n" ); document.write( "To round to the hundredth's place round at the second decimal place \n" ); document.write( "13.29\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |