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Logarithms : Change of Base Formula

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Most calculators have 2 different logs on them: log which is based 10, and in which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers availabe to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she needs a log to base 2 which in not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here.

log a=log a
b _____
log
b using this formula find log 10000
2
Show work.

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Solution Summary

The logarithmic change of base formula is investigated.

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