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 x ↦ b x {\displaystyle x\mapsto b^{x}} .

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

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.

In this lesson, you’ll be presented with the common rules of logarithms, also known as the “log rules”. These seven (7) log rules are useful in expanding logarithms, condensing logarithms, and solving logarithmic equations.

A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation. For example, if 10 2 = 100 then log 10 100 = 2. Hence, we can conclude that, Log b x = n or b n = x. Where b is the base of the logarithmic function. This can be read as “Logarithm of x to the base b is equal to n”.

2025年2月11日 · 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.

2024年12月18日 · According to the product rule, the logarithm of a product is equal to the sum of the logarithms of the individual factors: logₐ(xy) = logₐx + logₐy. What are Two Types of Logarithms? The two most commonly used logarithm types are: Common Logarithm or Base 10 Logarithm; Natural Logarithm or Base e Logarithm; What is Log Rule for Change of ...

2024年12月30日 · Log Table in math is a reference tool used to ease computations using logarithmic functions. It usually provides pre-computed logarithm values for various integers, commonly in a base like 10 or the natural logarithm base (e ≈ 2.71828). Log tables allow users to obtain the logarithm of a given numbe

What is Log? The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything.

This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1). Regardless of whether you are looking for a natural logarithm, log base 2, or log base 10, this tool will solve your problem.