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Introduction to Logarithms. 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. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
Logarithms can also be negative: = since = =. log 10 150 is approximately 2.176, which lies between 2 and 3, just as 150 lies between 10 2 = 100 and 10 3 = 1000. For any base b, log b b = 1 and log b 1 = 0, since b 1 = b and b 0 = 1, respectively.
4 Αυγ 2024 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is the inverse operation of exponentiation.
Logarithm of negative number 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
9 Ιαν 2017 · But if $e^z$ is negative then we need to have $e^{z} = e^{a + bi} = e^a(\cos b + i \sin b)$ so $\cos b + i \sin b$ is a negative number. That means $b = \pi$ . So $z = i \pi$.
While the value of a logarithm can be a negative number, the argument (x-value) of any logarithm cannot be negative. This is because the base of a logarithm can only be a positive number greater than 1, and a positive number raised to anything will be a positive number: base > 1.
5 Ιουν 2024 · Using this calculator, you can find the negative logarithm of any number with any chosen base. For details on logarithms and how to find the negative log of a number, read the description given below.
