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Logarithms are the mathematical function that is used to represent the number (y) to which a base integer (a) is raised in order to get the number x: x = ay; where y = loga(x). Most of you are familiar with the standard base-10 logarithm: y = log10(x); where x = 10y.
In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
4 Αυγ 2024 · Definition of Logarithm | Log Definition A logarithm is a mathematical concept that answers the question: to what exponent must a given base number be raised to produce a specific number? In simpler terms, if you have an equation of the form b y = x , then the logarithm of x to base b is y , expressed as y = log b (x).
19 Ιουλ 2024 · Logarithms are mathematical functions that help in solving equations involving exponents by translating multiplication of numbers into addition of their exponents. Essentially, a logarithm asks the question: “To what exponent must one number, called the base, be raised to produce another number?”
27 Μαρ 2023 · A logarithm is simply the number of times we need to multiply one number together to make another number i.e. it is the power to which a number must be raised to get another number. Logarithms allow us to deal with extremely large or extremely small numbers without getting our heads in a spin.
Here are some simple examples of logs. To find the logarithm of a number other than a power of 10, you need to use your scientific calculator or pull out a logarithm table (if they still exist). On most calculators, you obtain the log (or ln) of a number by. Example 1: log 5.43 x 10 10 = 10.73479983...... (way too many significant figures)
Definition: Any equation in the variable x that contains a logarithm is called a logarithmic equation. Recall the definition of a logarithm. This definition will be important to understand in order to be able to solve logarithmic equations. Examples: EXAMPLES OF LOGARITHMIC EQUATIONS : Example 1 : Example 2 : Log 2 x = -5
