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A negative log means that we will use a negative exponent (power) when we convert from log form to exponential form. Remember that a negative exponent means that we are dividing by a number rather than multiplying. For example: That is, we are dividing by 25 instead of multiplying by 25.
Enter the number you want to calculate the negative logarithm of, i.e., 8, in the first row. Enter the base, i.e., 2, in the second row. If you want to calculate the natural log, use e as the base. The negative log value, i.e., -3, appears in the last row.
In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. We write it like this: So these two things are the same:
The base b real logarithm of x when x<=0 is undefined when x is negative or equal to zero: log b ( x ) is undefined when x ≤ 0 See: log of negative number
ln (x) = log e (x) = y. The e constant or Euler's number is: The natural logarithm function ln (x) is the inverse function of the exponential function e x. For x>0, f (f -1 (x)) = eln (x) = x. Or. f -1 (f (x)) = ln (ex) = x. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y.
29 Ιουλ 2024 · According to the reciprocal rule of logarithms, the logarithm of a number’s reciprocal (1 divided by that number) is equal to the negative of the logarithm of the original number.
9 Ιαν 2017 · In particular, the logarithm of a negative real number x can then be calculated as log(x) = log(| x | eiπ) = log(| x |) + log(eiπ) = log(| x |) + iπ. However, this explanation is not sufficient and the logarithm as presented is NOT a well-defined function.
