如果a x =N（a>0，且a≠1），那么数x叫做以a为底N的对数，记作x= log aN，读作以a为底N的对数，其中a叫做对数的底数，N叫做 真数。 一般地，函数y=logax（a>0，且a≠1）叫做对数函数，也就是说以 幂 （真数）为 自变量，指数为 因变量，底数为 常量 的函数，叫对数函数。 其中x是自变量，函数的 定义域 是（0，+∞），即x>0。 它实际上就是指数函数的反函数，可表示为x=a y。 因此指数函数里对于a的规定，同样适用于对数函数。 “ log ”是 拉丁文 logarithm（对数） …

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y. The logarithm of the division of x and y is the difference of …

In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes. Trivial mathematical identities are relatively simple (for an experienced mathematician), though not necessarily unimportant. The trivial logarithmic identities are as follows:

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.

2015年6月12日 · By definition we know that: $\log(x^n)=n\log|x|$ as known property in logarithm function . If it's not a trivial question, how do I prove that :$\log(x^n)=n\log|x|$? Note: $x$ is real number, $n$ is a natural number.

log公式的运算法则一、四则运算法则log(AB)=logA+logB；log(A/B)=logA-logB；logN^x=xlogN。二、换底公式logM/N=logM/logN。三、换底公式导出logM/N=-logN/M。四、对数恒等式a^(logM)=M。log的

In the case of logarithmic functions, there are basically five properties. The logarithmic number is associated with exponent and power, such that if x n = m, then it is equal to log x m=n. Hence, it is necessary that we should also learn exponent law.

\log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} \frac{\partial}{\partial x} \int \int_{\msquare}^{\msquare} \lim \sum \infty \theta (f\:\circ\:g) f(x)

2024年12月18日 · According to the power rule, the logarithm of a number raised to an exponent equals the exponent multiplied by the logarithm of the base. Formula: loga(Xn) = n × logaX. Example: log5(92) = 2 × log5(9)

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. We write it like this: So these two things are the same: