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Is it possible for a logarithm to equal a negative number?
Yes. The logarithm of 1 is zero; the logarithm of any number less than one is negative. For example, in base 10, log(0.1) = -1, log(0.01) = -2, log(0.001) = -3, etc.
What is the value of logarithm of zero?
The value of the common logarithm is undefined at 0.
What is the logarithm of 1.0?
Zero, in logs to base 10, base e, or any base.
Why can the base of a logarithm be neither less than or equal to zero nor equal to one?
A logarithm is written like this: logab It is asking: 'How many a's must be multiplied together to get b?' or 'To what power must a be raised to get b?' Those questions are normally impossible to answer if a is zero or one, because these numbers remain the same no matter what the power. If a is negative, then the need to introduce imaginary and complex numbers will arise.
Why log you is unmdefined?
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.
