Question

The domain of f(x)=log(x) is?

thanks in advance ..

Answer 1

`D:x in (0,oo)`

Explanation:

The logarithm (I'm using natural log here, but it works for any base) is defined as:
`logx=a iff x=e^a`
This means the domain of `logx` is the set of all values that `e^a` can be. Since `e` is positive and a positive number raised to any power is still positive, we know that `e^a` is always positive. Therefore, the domain of `logx` is all positive real numbers, or written symbolically it is `x in (0,oo)`.