How do you find the domain and range of #y = log(2x -12)#?
1 Answer
For domain, the argument of the logarithm must be greater than 0.
Domain:
Range:
Explanation:
For domain:
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
So solve
The domain is
For range
For any logarithmic function of the form