# What is the value of the common logarithm log 10,000?

##### 1 Answer

Sep 13, 2014

Logarithms in base 10 (common log) is the power of 10 that produces that number.

log(10,000) = 4 since

Additional examples:

And:

The domain of the common log as well as the logarithm in any base, is x > 0. You can not take a log of a negative number, since any positive base can NOT produce a negative number, no matter what the power!

Ex: