SOLUTION: what is log2 (.008)

Question 643945: what is log2 (.008)
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

You should first try to figure out what this is by hand because by hand you might be able to get an exact answer. If you use a calculator you are most likely to get a decimal approximation.

This log represents the exponent for 2 that results in 0.008. Which exponent this is is not obvious. Perhaps it might help to see 0.008 in fraction form:

But still the power of 2 that results in 8/1000 is not clear. So we will need to resort to our calculator.

Your calculator probably does not have a button for base 2 logs. So to find the base 2 log above we will use the base conversion formula:

to convert the base 2 log into an expression of logs your calculator "knows":

Both will work and both will give the same answer.
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