# Question #9416d

Sep 27, 2016

We know that the values of $f \left(x\right)$ are real numbers for
$f \left(x\right) = L o {g}_{a} \left(x - k\right)$ where $k$ constant, if argument of $\log$ is positive.
$\left(x - k\right) > 0$
$\implies x > k$

Inserting given numbers we get domain of
$\log \left(x - 7\right)$ in inequality form as
$x > 7$
In interval form as
$\left(7 , + \infty\right)$