A graph of the common logarithm of numbers from 0.1 to 100. In mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. [1] It is also known as the decadic logarithm, the decimal logarithm and the Briggsian logarithm.

What is a Common Logarithm? A common logarithm has a fixed base of 10. The common log of a number N is expressed as; log 10 N or log N. Common logarithms are also known as decadic logarithm and decimal logarithm. If log N = x, then we can represent this logarithmic form in exponential form, i.e., 10 x = N.

2024年12月15日 · A common logarithm is any logarithm with base 10. Recall that our number system is base 10; there are ten digits from 0 through 9, and place value is determined by groups of ten. You can remember a “common logarithm,” then, as any logarithm whose base is our “common” base, 10. Natural logarithms are different than common logarithms.

標準對數，也称常用對數（英語： Common logarithm [註 1] ）在數學是以10為底數的對數函數，其逆函數是以10作基數的指數函數。 底為10的對數 表达式 以log 10 ( x )表示，有時以英文大寫字母L表示Log( x ) [ 註 2 ] 。

A common log is a logarithm with base 10, i.e., log 10 = log. A natural log is a logarithm with base e, i.e., log e = ln. Logarithms are used to do the most difficult calculations of multiplication and division .

For a function like ( ) = log3( ), we need to determine what exponent make 3 equal to . Just like any other logarithms, common logs are exponents. A common log is the exponent needed to make 10 become a power of 10.

2023年12月13日 · To represent y as a function of x, we use a logarithmic function of the form y = logb(x). The base b logarithm of a number is the exponent by which we must raise b to get that number. We read a logarithmic expression as, “The logarithm with base b of x is equal to y,” or, simplified, “log base b of x is y.”

在数学中， 标准对数，也称 常用对数 （英语： Common logarithm [注 1]）是以 10 为 底数 的 对数函数，其 逆函数 是以10作为 基数 的 指数函数。 A graph of the common logarithm of numbers from 0.1 to 100. 底为10的对数 表达式 以 log 10 (x)表示，或者有时以英文的大写字母 L 表示 Log (x) [注 2]。 在计算机上的标记通常是“log”，但数学家通常区分对待 自然对数 [注 3] 和常用对数。 为了区分这种模糊性，ISO 80000 规范建议 log 10 (x)应该写成lg (x)，log e (x)应该是 ln (x)。

Common Logarithms: Base 10. Sometimes a logarithm is written without a base, like this: log(100) This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the "log" button. It is how many times we need to use 10 in a multiplication, to get our desired number.

The common logarithm is the logarithm to base 10. The notation is used by physicists, engineers, and calculator keypads to denote the common logarithm. However, mathematicians generally use the same symbol to mean the natural logarithm ln, .