# Thread: how do you find the domain of this logerithm?

1. ## how do you find the domain of this logerithm?

log5 X^3

I'm not sure where to start on this one.

Thanks

Jason

2. Originally Posted by Darkhrse99
log5 X^3

I'm not sure where to start on this one.

Thanks

Jason
The domain of $f(x) = log_5(x)$ is $(0, \infty)$. Does the $x^3$ change any of that?

-Dan

3. No, x^3 doesn't change that.

Thanks

Jason

4. Originally Posted by Darkhrse99
No, x^3 doesn't change that.

Thanks

Jason
Great!

Now just to keep the juices flowing, what would the domain of $log_5(x^2)$ be?

-Dan