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A logarithm is the power to which a number must be raised in order to express some other number. For example in the equation 125 = 5 3, we call 5 the 'base' and 3 the power or index. We can use logarithms to write the equation in another form, such as: Log 5 125 = 3.
The Exponential Equation is a Standard Model Describing the Growth of a Single Population. The easiest way to capture the idea of a growing population is with a single celled...
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.
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, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if b x = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8. In the same fashion, since 10 2 = 100, then 2 = log 10 100.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
Logarithms come in the form \({\log _a}x\). We say this as 'log to the base \(a\) of \(x\). But what does \({\log _a}x\) mean?