# How do you find the domain and range of f(x)= log_5 (x-1) + 4?

The domain is D=(1;+oo) range is $\mathbb{R}$
To calculate the domain you have to know that the logarythn is only defined for positive numbers, so you have to solve $x - 1 > 0$ and then you get D=(1;+oo)
In case of the range you don't need to calculate anything. The logarythm functions can have all real values, so the range is $\mathbb{R}$.