What Is The Domain Of A Logarithmic Function

This relationship is true for any function and its inverse.

What is the domain of a logarithmic function. For example we can only take the logarithm of values greater than 0. What is the range of the function. Examples on how to find the domain of logarithmic functions with solutions example 1 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.

When determining domain it is more convenient to determine where the function would not exist. As we mentioned in the beginning of the section transformations of logarithmic functions behave similar to those of other parent functions. When finding the domain of a logarithmic function therefore it is important to remember that the domain consists only of positive real numbers.

Graphing a horizontal shift of latex f left x right mathrm log b left x right latex. The graph is nothing but the graph y log x translated 3 units down. Stack exchange network consists of 176 q a communities including stack overflow the largest most trusted online community for developers to learn share their knowledge and build their careers.

What is the domain of the function. Hence the condition on the argument x 1 0 solve the above inequality for x to obtain the domain. B f 1 x 9x.

Which points lie on the graph of f x log9x. For example in the logarithmic function. For example consider latex f left x right mathrm log 4 left 2x 3 right latex.

Check all that apply. X 0 all real numbers. How can you use a point on the graph of f 1 x 9x to determine a point on the graph of f x log9x.