# How do you find the domain of 3log(5x-2)?

Dec 28, 2015

The domain are the valid x-values

#### Explanation:

Since the log of a non-positive number is not allowed ...

$5 x - 2 > 0$

$5 x > 2$

$x > \frac{2}{5}$

So, the domain is $\left(\frac{5}{2} , \infty\right)$

hope that helped