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 …

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 …

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 …

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, …

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 …

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 …

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, …

\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 …

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. …

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 …