Domain and range of f(x) = √(1 - log₃x)

[aek]

can anyone help me find the natural domain and range of

$$f(x) = 1 - log_3x$$
*the whole equation is under a square root sign, its just a couldn't latex it

 

[Data]

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

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

 

[Jameson]

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

and

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

 

[Jameson]

Accidently doubled posted...