The value of the common logarithm is undefined at 0.
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Zero, in logs to base 10, base e, or any base.
The base b logarithm of x is a value y such that by = x
I am not quite sure what you mean with "log you"; the log is calculated for numbers. The following logarithms are undefined: For real numbers: the logarithm of zero and of negative numbers is undefined. For complex numbers: the logarithm of zero is undefined.
determination of log table value
The actual calculations to get a logarithm are quite complicated; in most cases you are better off if you look the logarithm up in tables, or use a scientific calculator.