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Working with Logarithms

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Explanation and breakdown of Logs

(See attached file for full problem description with proper equations)

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Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:

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:

log_b (a) = log a / log b
Using this formula, find log_2 (1000) .

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Logarithms:
a) Using a calculator, find log 10000 where log means log to the base of 10.
Answer:

Just key in 10000 to the ...

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