Common
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
The natural logarithm (ln) is used when you have log base e
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
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.
Natural log Common log Binary log
The common logarithm of a number is the exponent to which 10 must be raised to equal that number. In this case, the common logarithm of 0.072 is -1.1438. This is because 10 raised to the power of -1.1438 is approximately equal to 0.072.
log base 10 x = logx
Common
Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
The 'common' log of 4 is 0.60206 (rounded) The 'natural' log of 4 is 1.3863 (rounded)
The value of log 500 depends on the base of the logarithm. If the base is 10 (common logarithm), then log 500 is approximately 2.69897. If the base is e (natural logarithm), then log_e 500 is approximately 6.2146. The logarithm function is the inverse of exponentiation, so log 500 represents the power to which the base must be raised to equal 500.
Logarithm is often abbreviated as log. Other than that, I don't think there is another common name.
A logarithm of a reciprocal. For example, log(1/7) or log(7-1) = -log(7)
In mathematics, the logarithm function is denoted by "log". The base of the logarithm is typically specified, for example, "Log S" usually refers to the logarithm of S to a certain base (e.g., base 10 or base e).
A log with a subscript typically indicates the base of the logarithm. For example, "log₃(x)" means the logarithm of x in base 3. This notation is used to specify the base of the logarithm function.
A "natural logarithm" is a logarithm to the base e, notto the base 10. Base 10 is sometimes called "common logarithm". The number e is approximately 2.71828.