document.write( "Question 68240: ) Logarithms:
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document.write( "a) Using a calculator, find log 1000 where log means log to the base of 10.
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document.write( "Answer: 10^3=1000; therefore log1000=3\r
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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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document.write( " log b A=log a/log b
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document.write( "Using this formula,log 2 1000 find . Round your answer to the hundredth's place.
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document.write( "Answer:
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document.write( "Show work in this space.
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Algebra.Com's Answer #48575 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! To find the log of a number to any base, we can use a conversion formula as shown here: \n" ); document.write( "log b A=log a/log b \n" ); document.write( "Using this formula,log 2 1000 \n" ); document.write( "----------------------- \n" ); document.write( "log(base2)1000= [log 1000]/[log2] \n" ); document.write( "=3/0.3010299957... \n" ); document.write( "=9.96578425... \n" ); document.write( "-------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |