What is a logarithm?

Logarithm is a mathematical term that can also mean an "exponent". As a basic algebraic concept, it is important to understand how to calculate logarithms for almost any mathematical class that includes an advanced algebra. Probably because the wording of logarithmic problems is somewhat topsy-turvy, this particular mathematical concept is very easy incomprehensible.

To understand what the logarithm is, it is first necessary to know what the exponent is. The exponent is a number written in the Superscript above the basic number, such as 2

3 , which shows how many times the base should be multiplied by itself. This can be written alternatively as "two to the third force". If you want to calculate the total number of 2

3 , simply multiply 2 x 2 x 2 to reach 8. Therefore, 2 3 = 8. In search of logarithm he asks, "What exponent 2 is equal to 8?" or “what power2 is 8?” In the form of RThe sheep is usually written as log

logarithm or power supply may not always be a positive integer. It can also be decimal places or fractions or even a negative number. Log _{16 4 = 0.5, because 16}

.5 = 4. Negative forces require understanding how to calculate the inversion of a positive exponent. If you want to calculate the negative logarithm, change it to a positive number, find out a positive calculation, and then earn one answer with the answer. For example, to find out what is 5

-2 equal, find that 5 2 = 25, then earn 1/25 to get 0.04, so protocol 5 0.04 = -2.

There are two main types of logarithms that commonly appear. The basic 10 logarithms that contain all the above examples are commonly written as "log". However, not all equations rely on base 10, which means that numbers may have different valuesy depending on the base used. While Base 10 is by far the most commonly used value system, another form that often occurs in algebraic and advanced mathematical calculations, is called the base e , which uses 2,718281828 as a base number. Logarithms that use the e base are referred to as natural logarithms and are usually written as ln site log.

Understanding the basic function of logarithm is critically important for advanced mathematical calculations. Logarithms appear everywhere in different surprising areas of study. Although it is no wonder that they play a role in fractal geometry, statistics and probabilistic functions, sometimes they are also used in such wide areas as music theory and even psychology.