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8 Αυγ 2023 · Logarithms have wide practicality in solving calculus, statistics problems, calculating compound interest, measuring elasticity, performing astronomical calculations, assessing reaction rates, and whatnot. This article will cover some of the most common real-life applications of logarithms. The applications are-
Then what do we mean by the negative logarithms? It means that the logarithm of the set of such numbers gives a negative result. All the numbers that lie between 0 and 1 have negative logarithms.
A common case where a negative log can occur is when we are dealing with a positive integer base (a whole number greater than 1) and an input that is a number between 0 and 1. In this article, we’ll talk about when logs can be negative.
We're at the typical "logarithms in the real world" example: Richter scale and Decibel. The idea is to put events which can vary drastically (earthquakes) on a single scale with a small range (typically 1 to 10).
15 Μαΐ 2020 · M. Leibniz holds that the logarithms of all negative numbers, and even more so those of imaginary numbers, are imaginary; thus, since l − a = la + l − 1 l − a = l a + l − 1, he holds that l − 1 l − 1 is an imaginary quantity.
11 Οκτ 2016 · Negative numbers, and the number 0, aren’t acceptable arguments to plug into a logarithm, but why? The reason has more to do with the base of the logarithm than with the argument of the logarithm. To understand why, we have to understand that logarithms are actually like exponents: the base of a logarithm is also the base of a power function.
9 Ιαν 2017 · This is Euler's Formula, one of the most famous mathematical formula in history. Suddenly $e^z$ being a negative number is not impossible. 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 $z = i \pi$.
