In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3 rd power: 1000 = 103 = 10 × 10 × 10.

在数学中， 對數 （英語： logarithm）是 冪運算 的逆運算。 当 时，則有. 其中 是對數的 底 （也稱為基數），而 就是 （对于底数 ）的对数， 也称为 真数。 底数 的值在实数范围内常取 、 10、2等，但一定不能是1或0 [註 2] 当 和 进一步限制为正 实数 的时候，对数是唯一的实数。 例如，因为. 我们可以得出. 用日常语言说，即「81以3为底的对数是4」。 这个意思就是说，81是3的4次方。 15世纪时，法国数学家 尼古拉·许凯 和德国数学家 米夏埃尔·施蒂费尔 （英语：Michael …

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 ?

2024年12月30日 · The logarithm is the exponent or power to which a base is raised to get a particular number. For example, 'a' is the logarithm of 'm' to the base of 'x' if xm = a, then we can write it as m = logxa. Logarithms are invented to speed up the calculations and time will be reduced when we are multiplying

自然对数（natural logarithm），记作 ln ⁡ \ln ln ，是底数为数学常数 e e e （约为 2.71828）的对数。自然对数在微积分、物理学、金融学等领域中具有重要应用。

2025年2月11日 · 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.

A logarithm is defined as the power to which a number must be raised to get some other values. It is the most convenient way to express large numbers. A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction.

2024年12月31日 · A logarithm is a mathematical function that helps to determine the power to which a given number, called the base, must be raised to obtain another number. The logarithm of a number x to the base b is denoted as logâ ¡bx and logarithmic equation is an equation that involves a logarithm with a variable

2024年5月28日 · Logarithm, often called ‘logs,’ is the power to which a number must be raised to get the result. It is thus the inverse of the exponent and is written as: b a = x ⇔ log b x = a. Here, are the 3 parts of a logarithm. Thus, the logarithm represents the exponent to which a base is raised to yield a given number. For example, we know 4 3 = 64.

Logarithm. A logarithm is the inverse function of exponentiation. A logarithm tells us the power, y, that a base, b, needs to be raised to in order to equal x. This is written as: log b (x) = y