# Can anyone help me find the natural domain and range of$$f(x) = 1. Apr 3, 2005 ### aek can anyone help me find the natural domain and range of [tex]f(x) = 1 - log_3x$$
*the whole equation is under a square root sign, its just a couldn't latex it

2. Apr 3, 2005

### Data

so it's $f(x) = \sqrt{1 - \log_3{x}}$?

Well, when is $\log_3{x}$ defined? When is $\sqrt{x}$ defined?

3. Apr 3, 2005

### Jameson

Two suggestions to build off of Data's. $\log_3{x} = \frac{\ln{x}}{\ln3}$

and

$$1 - \log_{3}x \geq 0$$

4. Apr 3, 2005

### Jameson

Accidently doubled posted...