Domain Function Of Log

Domain and range of exponential and logarithmic functions the domain of a function is the specific set of values that the independent variable in a function can take on.

Domain function of log. F x log 4 x 3 solution to example 4 the domain of this function is the set of all values of x such that x 3 0. Remember that since the logarithmic function is the inverse of the exponential function the domain of logarithmic function is the range of exponential function and vice versa. Also the base cannot be equal to 1.

Find the domain of function f defined by. 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 for example if the logarithmic function is. First any logarithm must have positive argument and positive base.

This video discusses how to find the domain of a logar. F x log 4 16 x 2 example 4 find the domain of function f defined by. The expression x 3 is positive for all real values except for x 3 which makes it zero.

For example consider latex f left x right mathrm log 4 left 2x 3 right latex. The range is the resulting values that the dependant variable can have as x varies throughout the domain. That is the argument of the logarithmic function must be greater than zero.

Hence the domain of the given function is the set of all real values except 3 which can be written in interval form as follows. X 0 or 0. Y log 10 x then the domain is.

When finding the domain of a logarithmic function therefore it is important to remember that the domain consists only of positive real numbers.