How Does Someone Find the Domain of Logarithmic Functions?


Quick Answer

The domain of logarithmic functions can be found by finding all of the numbers that do not make the value of y imaginary. The domain of the function can be deducted by taking out all of the numbers that work to make the y function an imaginary one.

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Full Answer

A logarithmic function is one in which the exponents are inversed. For example, y = b^x would be x = b^y when it is inverse. This can be used to solve what y is in any type of logarithmic function. The values of x and the values of b must be the only things known to find out what the value of y is with the help of a calculator.

It is possible to find the value of y by hand in logarithmic function, but it can be difficult and take a long period of time. More commonly, a calculator with a LOG function on it is used to find the logarithmic domain of y. To find the logarithmic domain of any number in a sequence, the number can be plugged into the calculator followed by the LOG key. If a person wishes to find the inverse option of the logarithmic domain, he must use the LN key.

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