Domain Math Log

In mathematics the logarithm is the inverse function to exponentiation that means the logarithm of a given number x is the exponent to which another fixed number the base b must be raised to produce that number x in the simplest case the logarithm counts the number of occurrences of the same factor in repeated multiplication.

Domain math log. Find the domain and range of the function y log x 3. A very important fact that we have to know about the domain of a logarithm to any base is a logarithmic function is defined only for positive values of argument. The function is defined for only positive real numbers.

The domain and range of a function is all the possible values of the independent variable x for which y is defined. As a function table and as a set of coordinates. The example below shows two different ways that a function can be represented.

In the above logarithmic function 10 is called as base. A is called as argument. Find the domain of function f defined by f x log 3 x 1 solution to example 1 f x can take real values if the argument of log 3 x 1 which is x 1 is positive.

The graph is nothing but the graph y log x translated 3 units down. E g since 1000 10 10 10 10 3 the logarithm base. The range of a function is all the possible values of the dependent variable y.

Fact to be known about domain of logarithm functions. B is called as answer. X 1 or in interval form 1.