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.
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.
No, the base of a logarithm must be greater than zero and cannot be equal to one. A logarithm with a base less than one would not be defined for positive numbers since it would lead to undefined or negative results. Therefore, valid logarithmic bases are strictly greater than one or between zero and one, but only for specific contexts like fractional logarithms.
neither - it is equal
Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.
No -------------------------------------------------------------------------------------------------------- Neither, it's less than.
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.
No, the base of a logarithm must be greater than zero and cannot be equal to one. A logarithm with a base less than one would not be defined for positive numbers since it would lead to undefined or negative results. Therefore, valid logarithmic bases are strictly greater than one or between zero and one, but only for specific contexts like fractional logarithms.
The logarithm of a number less than 1 is negative. Therefore, -log 0.5 is the negative logarithm of 0.5 which is equal to -0.301.
neither - it is equal
Neither. They are equal.
It is neither.
Logarithms of numbers less than one are negative. For example, the logarithm of 1/2 will be negative.
Neither. 0.51 and 0.510 are equal.
Neither. They are equal.
-3
neither. it is 8 less than 4
No -------------------------------------------------------------------------------------------------------- Neither, it's less than.