# Logarithm Functions

Logarithms:

a) Using a calculator, find log 1000 where log means log to the base of 10.

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: log b (a)= (log a)/(log b).

Using this formula, find log 2 1,000. Round your answer to the hundredth's place.

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#### Solution Preview

a) Using a calculator, find log 1000 where log means log to the base of 10.

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Logarithms are very similar to exponents. This problem (find log 1000) is the same as finding the value of the question mark in the equation log 1000 = ?. If you re-write this problem with exponents, it becomes ...

#### Solution Summary

The solution explains logarithms. It also shows how to use a calculator -- which can only calculate log (base 10) and ln (base e) -- to find the logarithm using any base.