Table of Contents
What are Logarithms?
A logarithm is a mathematical function that takes a real number as input and produces an output that is the exponent to which a given base must be raised to produce the given number. For example, the logarithm of 100 to the base 10 is 2, because 10 raised to the power of 2 is 100. The logarithm of 1 to any base is 0, because any number raised to the power of 0 is 1.
Define Logarithm
A logarithm is a mathematical function that takes a number, called the base, and an integer, called the exponent, and produces a result, called the logarithm. The logarithm of a number is the power to which the base must be raised to produce the number.
Property of Product in Logarithm
In a logarithmic function, the value of the product is the same as the value of the sum of the logs of the individual factors.
Property of Quotient
The property of quotient states that the product of the quotient and the divisor is equal to the dividend.
Property of Power
The ability to compel obedience from others.
The power to compel obedience from others can be used for good or evil. It can be used to get people to do what you want them to do, or it can be used to force them to do what you want them to do. It can also be used to control them and keep them in line.
The Inverse of Property of Logarithms
If the logarithm of a number is negative, the number is larger than the base.
If the logarithm of a number is positive, the number is smaller than the base.
Application of Logarithms
Logarithms are used extensively in mathematics and in many scientific disciplines.
Some common applications of logarithms include:
– Calculating compound interest
– Determining the pH of a chemical solution
– Estimating the number of radioactive decays per unit time
– Finding the roots of a polynomial equation
