How do you find the domain and range of #y = log(2x -12)#?
For domain, the argument of the logarithm must be greater than 0.
The argument of the logarithm (stuff inside the log) must be greater than 0. This is because logarithm can be viewed as the inverse of an exponential function. For example:
This can be represented by, in exponential form,
10 raised to any exponent cannot get a negative number or be equal to zero, thus
The domain is
For any logarithmic function of the form