分贝（dB）是一个用来表示声音强度相对于参考值的对数单位。 它通常用于描述声音的响度，其和声强的关系为. 其中是声强级（以分贝为单位），是被测量的声强（以瓦特每平方米为单位），是参考声强，其数值为瓦特每平方米。 [5] （1）已知人耳能听到的最微弱的声强级为。 求该 …

log b (x) = y. For example when: 2 4 = 16. Then. log 2 (16) = 4. Logarithm as inverse function of exponential function. The logarithmic function, y = log b (x) is the inverse function of the exponential function, x = b y. So if we calculate the exponential function of the logarithm of x (x>0), f (f -1 (x)) = b log b (x) = x

The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function .

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1] The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x.

2021年10月6日 · Apply the inverse properties of the logarithm. Expand logarithms using the product, quotient, and power rule for logarithms. Combine logarithms into a single logarithm with coefficient 1. Recall the definition of the base- b logarithm: given …

Suppose h = a*exp(b). Find an expression for log(h). Suppose S = Xexp(b) where 0 < S < 1. Find an expression for log(-log(S)). Solutions.

Logarithms are inverse functions of exponentials, i.e. with f as above, f−1(x) = log b(x). This is already very interesting: the derivative takes log b(x), which is a transcendental func-tion defined as the inverse function of another transcendental function, into a simple rational function!

By the quotient rule of logarithms, the log of a quotient of two terms is equal to the difference of logs of individual terms. i.e., the rule says log b mn = log b m + log b n. Let us derive this rule.

There are a number of rules known as the laws of logarithms. These allow expressions involving logarithms to be rewritten in a variety of different ways. The laws apply to logarithms of any base but the same base must be used throughout a calculation. This law tells us how to add two logarithms together.

Please provide any two values to calculate the third in the logarithm equation log b x=y. It can accept "e" as a base input.