common log

简明释义

扇板计程仪

英英释义

例句

1.The function to calculate the logarithm in this programming language defaults to the common log (常用对数).

这个编程语言中计算对数的函数默认为common log（常用对数）。

2.In mathematics, the common log (常用对数) is often represented as log base 10.

在数学中，common log（常用对数）通常表示为以10为底的对数。

3.You can find the common log (常用对数) of a number using a scientific calculator.

你可以使用科学计算器找到一个数字的common log（常用对数）。

4.When solving exponential equations, you can use the common log (常用对数) to simplify your calculations.

在解决指数方程时，你可以使用common log（常用对数）来简化计算。

5.The common log (常用对数) of 100 is 2, because 10 raised to the power of 2 equals 100.

100的common log（常用对数）是2，因为10的2次方等于100。

作文

In the realm of mathematics, logarithms play a crucial role in simplifying complex calculations and understanding exponential relationships. One specific type of logarithm that is widely used is the common log, which refers to logarithms with a base of 10. The common log is denoted as log(x) or log10(x), where x is the number for which we are calculating the logarithm. Understanding the common log is essential not only for students but also for professionals in fields such as engineering, computer science, and finance.The significance of the common log lies in its ability to transform multiplication into addition. For instance, when we multiply two numbers, say a and b, we can express this operation using logarithms: log(ab) = log(a) + log(b). This property makes calculations involving large numbers much more manageable. Instead of dealing with the actual products, one can work with their logarithmic values, which simplifies the process considerably.Moreover, the common log is particularly useful in scientific contexts, especially when dealing with phenomena that vary exponentially. For example, in chemistry, the pH scale, which measures the acidity or basicity of a solution, is a logarithmic scale based on the common log. A change of one unit on the pH scale represents a tenfold change in acidity, illustrating the practical application of the common log in real-world scenarios.In addition, the common log is instrumental in solving exponential equations. When faced with an equation like 10^y = x, we can apply the common log to both sides to isolate y: y = log(x). This transformation allows us to solve for unknown variables effectively, showcasing the utility of the common log in mathematical problem-solving.Furthermore, understanding the common log enhances our grasp of data representation and analysis. In fields such as data science and statistics, logarithmic transformations are often applied to normalize data distributions, making them easier to analyze. By converting skewed data into a more symmetrical form, the common log aids in revealing underlying patterns that may not be immediately apparent in raw data.Despite its importance, many students struggle with the concept of logarithms, including the common log. It is essential to approach learning logarithms with patience and practice. Utilizing visual aids, such as graphs of logarithmic functions, can help in comprehending how the common log behaves. Additionally, engaging in problem-solving exercises that involve the common log can reinforce understanding and build confidence in using logarithms.In conclusion, the common log is a fundamental mathematical tool that simplifies calculations, aids in solving exponential equations, and enhances data analysis. Its applications extend across various disciplines, making it a vital concept to master. As we continue to encounter situations that require logarithmic thinking, embracing the common log will undoubtedly empower us to tackle complex problems with greater ease and efficiency.

在数学领域，对数在简化复杂计算和理解指数关系方面起着至关重要的作用。其中一种广泛使用的对数类型是common log，它指的是以10为底的对数。common log表示为log(x)或log10(x)，其中x是我们要计算对数的数字。理解common log不仅对学生至关重要，而且对工程、计算机科学和金融等领域的专业人士同样重要。common log的重要性在于它能够将乘法转化为加法。例如，当我们将两个数字相乘，比如a和b时，我们可以用对数来表示这个操作：log(ab) = log(a) + log(b)。这一性质使得涉及大数字的计算变得更加可管理。人们可以处理其对数值，而不是实际的乘积，从而极大地简化了过程。此外，common log在科学背景下尤其有用，特别是在处理以指数方式变化的现象时。例如，在化学中，pH值量表用于测量溶液的酸碱度，是基于common log的对数尺度。pH值每变化一个单位，酸度就会发生十倍的变化，这说明了common log在现实世界场景中的实际应用。此外，common log在解决指数方程方面也非常重要。当面临像10^y = x这样的方程时，我们可以对两边应用common log来隔离y：y = log(x)。这种转换使我们能够有效地求解未知变量，展示了common log在数学问题解决中的实用性。进一步来说，理解common log增强了我们对数据表示和分析的掌握。在数据科学和统计等领域，通常会应用对数变换来归一化数据分布，使其更易于分析。通过将偏斜的数据转换为更对称的形式，common log帮助揭示了原始数据中可能不明显的潜在模式。尽管common log很重要，但许多学生在理解对数的概念时遇到困难。以耐心和实践的态度来学习对数是至关重要的。利用视觉辅助工具，例如对数函数的图形，可以帮助理解common log的行为。此外，参与涉及common log的问题解决练习可以巩固理解并增强使用对数的信心。总之，common log是一个基本的数学工具，它简化了计算，帮助解决指数方程，并增强了数据分析。它的应用跨越多个学科，使其成为一个重要的概念。随着我们继续遇到需要对数思维的情况，掌握common log无疑会使我们更轻松高效地应对复杂问题。