document.write( "Question 47675: Logarithms:
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\n" ); document.write( "\n" ); document.write( "b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base 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 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:
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\n" ); document.write( "Using this formula,a=log a/log b, find log2 1000 . Round your answer to the hundredth's place.
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Algebra.Com's Answer #853427 by MathTherapy(10704)\"\" \"About 
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document.write( "Logarithms:\r\n" );
document.write( "a) 	Using a calculator, find log 1000 where log means log to the base of 10. \r\n" );
document.write( "Answer: \r\n" );
document.write( "\r\n" );
document.write( "b) 	Most calculators have 2 different logs on them: log, which is base 10, and ln, which is base e. In computer\r\n" );
document.write( "science, digital computers are based on the binary numbering system which means that there are only 2 numbers available\r\n" );
document.write( "to the computer, 0 and 1. When a computer scientist needs a logarithm, he needs a log to base 2 which is not on any\r\n" );
document.write( "calculator. To find the log of a number to any base, we can use a conversion formula as shown here:\r\n" );
document.write( " \r\n" );
document.write( "Using this formula,a=log a/log b, find log2 1000 . Round your answer to the hundredth's place.\r\n" );
document.write( "Answer:  \r\n" );
document.write( "Show work in this space.  \r\n" );
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document.write( "b) \"highlight%28log+%282%2C+%28%221%2C000%22%29%29%29\" = \"log+%28%28%221%2C000%22%29%29%2Flog+%28%282%29%29\" = \"log+%28%2810%5E3%29%29%2Flog+%28%282%29%29\" = \"%283+log+%2810%29%29%2Flog+%28%282%29%29\" =  \"3%281%29%2Flog+%28%282%29%29\" = \"3%2Flog+%28%282%29%29\" = 9.97, approximately
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