| 单词 | natural logarithm |
| 例句 | In maths, ln refers to the natural logarithm of a number. Every human year not equivalent to seven dog years, scientists find 2020-07-02T04:00:00Z To obtain the natural logarithm of a number, use the ln button on your calculator. Chemistry 2019-02-14T00:00:00Z The natural logarithm of the reaction rate constant is a linear function of the inverse of the temperature in Kelvin degrees. Biology for AP Courses 2022-06-09T00:00:00Z While the natural logarithms are a special case of these properties, it is often helpful to also show the natural logarithm version of each property. Intermediate Algebra 2020-05-06T00:00:00Z To evaluate this limit, we use the natural logarithm function. Calculus, Vol 2 2016-03-30T00:00:00Z Since this function uses natural e as its base, it is called the natural logarithm. Calculus, Volume 1 2016-03-30T00:00:00Z For example, the natural logarithm of 10 is 2.303; that is, Chemistry 2019-02-14T00:00:00Z When we have an equation with a base on either side, we can use the natural logarithm to solve it. Algebra and Trigonometry 2015-02-13T00:00:00Z In that case we often take the common logarithm or natural logarithm of both sides once the exponential is isolated. Intermediate Algebra 2020-05-06T00:00:00Z Here’s the conversion formula the scientists came up with: Human age is equal to 16 multiplied by the natural logarithm of the dog’s age, plus 31. A better way to gauge ‘dog years’ 2022-04-22T04:00:00Z As a result, the inverse hyperbolic functions involve the natural logarithm. Calculus, Volume 1 2016-03-30T00:00:00Z We begin the section by defining the natural logarithm in terms of an integral. Calculus, Volume 1 2016-03-30T00:00:00Z We can solve exponential equations with base by applying the natural logarithm of both sides because exponential and logarithmic functions are inverses of each other. Algebra and Trigonometry 2015-02-13T00:00:00Z When the exponential has base e, we use the natural logarithm. Intermediate Algebra 2020-05-06T00:00:00Z Note that if we use the absolute value function and create a new function ln |x|, we can extend the domain of the natural logarithm to include x < 0. Calculus, Volume 1 2016-03-30T00:00:00Z Since L’Hôpital’s rule applies to quotients, we use the natural logarithm function and its properties to reduce a problem evaluating a limit involving exponents to a related problem involving a limit of a quotient. Calculus, Volume 1 2016-03-30T00:00:00Z Note that the natural logarithm is one-to-one and therefore has an inverse function. Calculus, Volume 1 2016-03-30T00:00:00Z We can also find the natural logarithm of any power of using the inverse property of logarithms. Algebra and Trigonometry 2015-02-13T00:00:00Z Note that general logarithm functions can be written in terms of the natural logarithm. Calculus, Volume 1 2016-03-30T00:00:00Z The cornerstone of the development is the definition of the natural logarithm in terms of an integral. Calculus, Volume 1 2016-03-30T00:00:00Z For purposes of this section, assume we have not yet defined the natural logarithm, the number e, or any of the integration and differentiation formulas associated with these functions. Calculus, Volume 1 2016-03-30T00:00:00Z The function ex is then defined as the inverse of the natural logarithm. Calculus, Volume 1 2016-03-30T00:00:00Z TRY IT #11 Give the equation of the natural logarithm graphed in Figure 16. Algebra and Trigonometry 2015-02-13T00:00:00Z |
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