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27 Αυγ 2020 · Definition. A logarithm is the answer to the question what power x do I need to apply to the base b in order to obtain the number y: log_b(y) = x is another way of specifying the relationship: b^x = y. Let’s plug in some numbers to make this more clear. We will do base-10, so b=10.
- Logarithms
But Why Logarithms? It's much easier to relate to addition,...
- Logarithms
So, why do logarithmic functions exist? It is because exponential functions are one-to-one. Whether you want to use logarithms or not they exist because a bijective function has an inverse.
29 Ιουλ 2024 · Logarithms help in solving exponential equations and understanding the rate of change in various phenomena. Understanding Logarithmic Functions. Logarithm of a number x to the base b is defined as y if by = x. In other words, logb(x) = y if and only if by = x. Some of the properties of logarithmic functions are:
20 Αυγ 2020 · But Why Logarithms? It's much easier to relate to addition, subtraction, multiplication, and division….and in fact to some extent, even to exponentiation (think about population growth or COVID-19 infection spread).
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.
Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take for a population to double or for a bank balance to reach a given value with compound interest).
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). Just like PageRank, each 1-point increase is a 10x improvement in power.
