# What is the formula of log X?

### Sommario

- What is the formula of log X?
- How do you calculate a log?
- Why is Log used?
- What is a log function?
- How do you make a lig?
- What is a LOGX?
- What is a log in math?
- What is log value?
- What is called log?
- What careers use logarithms?
- What is the difference between loglog(X) and log(x)?
- What is the log base of B(X)?
- How do you find the log of X divided by Y?
- What is the log of X to the power of Y?

### What is the formula of log X?

The rules apply for any logarithm logbx, except that you have to replace any occurence of e with the new base b. The natural log was defined by equations (1) and (2)....Basic rules for logarithms.

Rule or special case | Formula |
---|---|

Log of power | ln(xy)=yln(x) |

Log of e | ln(e)=1 |

Log of one | ln(1)=0 |

Log reciprocal | ln(1/x)=−ln(x) |

### How do you calculate a log?

The relationship between ln x and log x is: **ln x = 2.303 log x** Why 2.303? Let's use x = 10 and find out for ourselves....CALCULATIONS INVOLVING LOGARITHMS.

Common Logarithm | Natural Logarithm |
---|---|

log x/y = log x - log y | ln x/y = ln x - ln y |

log xy = y log x | ln xy = y ln x |

log = log x1/y = (1/y )log x | ln = ln x1/y =(1/y)ln x |

### Why is Log used?

Logarithms are **the inverse of exponents**. A logarithm (or log) is the mathematical expression used to answer the question: How many times must one “base” number be multiplied by itself to get some other particular number? For instance, how many times must a base of 10 be multiplied by itself to get 1,000?

### What is a log function?

A logarithmic function is a function of the form. which is read “ **y equals the log of x, base b”** or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1. There are no restrictions on y.

### How do you make a lig?

0:4310:20Logarithms - The Easy Way! - YouTubeYouTube

### What is a LOGX?

In mathematics, the logarithm is **the inverse function to exponentiation**. ... The logarithm of x to base b is denoted as logb (x), or without parentheses, logb x, or even without the explicit base, log x, when no confusion is possible, or when the base does not matter such as in big O notation.

### What is a log in math?

**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 bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.

### What is log value?

A logarithm is **the power to which a number must be raised in order to get some other number** (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 1.

### What is called log?

**Logarithms** or logs are a part of mathematics. They are related to exponential functions. A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Historically, they were useful in multiplying or dividing large numbers.

### What careers use logarithms?

**Careers That Use Logarithms**

- Coroner. You often see logarithms in action on television crime shows, according to Michael Breen of the American Mathematical Society. ...
- Actuarial Science. An actuary's job is to calculate costs and risks. ...
- Medicine. Logarithms are used in both nuclear and internal medicine.

### What is the difference between loglog(X) and log(x)?

**log**(**x**) is defined for positive values of**x**.**log**(**x**) is not defined for real non positive values of**x**.**log**(**x**)<0 for 0<1**log**(**x**)=0 for x=1

### What is the log base of B(X)?

- The logarithm
**log**b (**x**) = y is read as**log**base b of**x**is equals to y. Please note that the base of**log**number b must be greater than 0 and must not be equal to 1. And the number (**x**) which we are calculating**log**base of (b) must be a positive real number.

### How do you find the log of X divided by Y?

- The quotient of x divided by y is the inverse logarithm of the subtraction of log b ( x) and log b ( y ): x / y = log -1 (log b ( x) - log b ( y )) The logarithm of the exponent of x raised to the power of y, is y times the logarithm of x. log b (2 8) = 8 ∙ log b (2)

### What is the log of X to the power of Y?

- The logarithm of x raised to the power of y is y times the logarithm of x. log b ( x y) = y ∙ log b ( x) The base b logarithm of c is 1 divided by the base c logarithm of b. The base b logarithm of x is base c logarithm of x divided by the base c logarithm of b.