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logarithm mathematical definition. A logarithm is a mathematical operation that determines how many times a certain number called the base is multiplied by itself to reach another number. For example 2 3 8.
Definition of logarithmic function. Since e y 0 for any real y the logarithmic function is defined only for x 0. For example the base ten logarithm of 100 is 2 because ten raised to the power of two is 100.
Logarithms or logs are a part of mathematics.
The natural logarithm of a number is its logarithm to the base of the mathematical constant e where e is an irrational and transcendental number approximately equal to 2718281828459. If y b x then log b y x Read log b y as log base b of y Just like we saw in the lesson about exponential function b is not equal to 1 and b is bigger than zero. Definition of logarithmic function. Its value y corresponding to the value of the argument x is called the natural logarithm of x.